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KHAIRUL ANUAR BIN MOHD YUSOF(13DDT18F1148)

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KHAIRUL ANUAR BIN MOHD YUSOF(13DDT18F1148)

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Question 1:

Irfan is either likes playing game or reading. Irfan dislike reading. Therefore,Irfan likes playing game.

What rules of inference is used?

Answer:
p=Irfan like playing game
q=Irfan like reading

p v q    =DISJUNTIVE SYLLOGISM
~q
--------
.'.p

Question 2:

If teacher come to school today, then l will go to class. I not go to class.  Therefore, teacher not come to school today

What rules of inference is used?

Answer:
p=teacher come to school today
q=i will go to class

p -> q =MODUS TOLLENS
~q
--------
.'.~p

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MUHAMMAD ALIFF MUQHIS B. ABU HANIPAH ( 13DDT18F1058 )

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MUHAMMAD ALIFF MUQHIS B. ABU HANIPAH ( 13DDT18F1058 )

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QUESTION 1
1) Let p and q be the propositions
p : It is a rainning day
q : we need to stay in house

write these propositions using p and q and logically connectives.
i) it is a rainning day and we need to stay in house

ANSWER
i)p^q

QUESTION 2
1)Determine which of these sentences are propositions?
a) 10+13 = 20
b)one plus three equals six
c) 11 is a prime number

ANSWER
a and c is a proposition

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{13DDT18F1108}
QUESTION 1
which of these sentences are propositions? state the truth value of those that are proposition the sentence is not a proposition,give the reason.
i) There are 7 days in a week.=proposition-true
ii}Go back to your class now!=not a proposition
iii} 2<5= proposition-true
iv} who can answer this question?
=not a proposition because it is question

QUESTION 2
1.Rose is a science.(p)major.Therefore,Rose is either a Science major(p) or a Mathematics major.(q)

=p
_____
pvq
by addition

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MUHAMMAD AIMAN MURSYIDI BIN MOHD RADZI 13DDT18F1123

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MUHAMMAD AIMAN MURSYIDI BIN MOHD RADZI 13DDT18F1123

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1)Determine which of these sentences are propositions?
a- 63/x = 7
b- 47 is a prime number.
c- Can i borrow your pencil?
d- Kuala Lumpur is a capital city of Malaysia.
e- Rainbow have 7 colours.

ANSWER
B, D and e is propositions.

2)Given the propositions :
z: You can't attend to school
x:You have a bad fever
c:You go to the clinic
Write in word the propositions below:
i) z^c
ii) x^~c
iii) c^-z

ANSWER
i) You can't attend to school and you go to the clinic.
ii) You have a bad fever but you didn't go to the clinic.
iii) You go to the clinic andyou attend to school.

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MUHAMMAD HILMAN BIN MOHD AMIN ( 13DT18F1103 )

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MUHAMMAD HILMAN BIN MOHD AMIN ( 13DT18F1103 )

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Question 1
Given the propositions :
p: The switch is closed
q: The lamp is on

Write in words the proposition .
i) p v q
Answer : The switch is closed or the lamp is on

Question 2 .
Determine the truth value of each of the following statements .
A) x + 3 = 10
Answer : False

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PROPOSITION
1) The truth value of given statement is
‘4+3=7 or 5 is not prime’.
a) False
b) True

ANS : b
Explanation: Compound statement with ‘or’ is true when either of the statement is true. Here the first part of statement is true, hence whole is true.

2) Let P: This is a great website, Q: You should not come back here.
Then ‘This is a great website and you should come back here.’ is best represented by:
a) ~P V ~Q
b) P ∧ ~Q
c) P V Q
d) P ∧ Q

ANS : b
Explanation: The second part of statement is negated, hence negation operator is used.

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INTAN FARHANAH ATASYA BINTI MOHD RAZALI(13DDT18F1118)

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INTAN FARHANAH ATASYA BINTI MOHD RAZALI(13DDT18F1118)

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Question 1
Which of the following is a proposition?
a) Where are going?
b) 1+0=0  or  0+0=2
c)  Who's there?
d)  Just do it!

Answer : b

Question 2
Given the proposition
p= Ani goes to supermarket.
q= Ani buy snacks.
p^q

Answer : Ani goes to supermarket and buy snacks.

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Question 1
Which of the statement is a PROPOSITION ?
a) Please close the door.
b) How dare you!
c) Where the your matrix card?
d) 2 + 2 = 4

Question 2
Given  the propositions:
p = Azman want to go to   Cybercafe
q = He don't have money

Write in words the propositions:

ANSWER
Question 1
- d
- because only this statement has truth value which is true.

Question 2
- p ^ q
-    Azman want to go to Cybercafe but he don't have money.

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(13DDT18F1053)

Question 1
(1) Lets p,q,r be the propositions

p: Ahmad can speak English
q: Ahmad is fearless
r: Ahmad was born in Terengganu

State the symbolic expression in word using:-
(a) p^~q
Answer
= Ahmad can speak English and Ahmad is not fearless

Question 2
(2) Let p and q be the propositions

p: It is a sunny day
q: we will go to the beach

write these propositions using p and q and logically connectives
(a) It is a sunny day and we will go to the beach
Answer
= p ^ q

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Question 1
1)Which of the following statement is a proposition?
a) Get me a glass of milkshake
b) God bless you!
c)  What is the time now?
d) The only odd prime number is 2

Answer: d
Explanation: Only this statement has got the truth value which is false.

Question 2
2) Let P: This is a great website, Q: You should not come back here. Then 'This is a great website and you should come back here'. is best represented by:
a) ~P V ~Q
b) P ^ ~Q
c) P V Q
d) P ^ Q

Answer: b
Explanation : The second part of statemant is negated, hence negation operator is used.

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13DDT18F1158

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Question 1:
1) Let Q(x) denote the statement "x>6". What is the truth values?
a)P( 7 )
b)P (5)

ANSWER: a)True
b)False

2)Which of sentences are propositions? State the truth value of those that are propositions. If not the sentences is not the propositions, given the reason.

a) Did you see my book at here?

b) 7 > 3

c) Can you help me to bring this food ?

ANSWER:
a) Not proposition because it was a question.

b)Proposition.

c) Not proposition because it was a question.

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NIK NUR AISYAH SAKINAH BINTI NIK NASRUDIN 

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NIK NUR AISYAH SAKINAH BINTI NIK NASRUDIN 

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13DDT18F1088

1) Let a, b and c be the proposition.
a: Swimming is exhausting
b: You are training harder
c: You will win the competition

Express each of the following proposition as an English sentences.
1.~b➡~c
2.a^b
ANSWER:
1.If you are not training harder, then you will not win the competition.
2.Swimming is exhausting and you are training harder.

2) Determine which of the sentences are true proposition or false proposition.

a)Choose which one is your favorite food.
b) Dungun is a part of Terengganu
ANSWER:
a) False proposition
b)True proposition

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13DDT18F1098

QUESTION 1:

Given the propositions:
p: Karim want to go to school.
q: He is sick
Write in words the propositions:
ANSWER QUESTION 1:
= p^q
= Karim want to go to school but he is sick.

QUESTION 2:

Given arguments:
If tomorrow is my birthday, then my family will treat me. Tomorrow is my birthday. Therefore, my family will treat me.
Write rules of inference and named the rule:
ANSWER QUESTION 2:
p → q
q
———
•• q
=Modus Ponens

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MUHAMMAD ZULHILMI BIN ABDUL AZIZ(13DDT18F1133)

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MUHAMMAD ZULHILMI BIN ABDUL AZIZ(13DDT18F1133)

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Question 1
P:The switch is closed
Q:The lamp is on
P v Q

Answer 1
The switch is closed and the lamp is on.

Question 2
a)Determine the truth value of the following statement.
x + 3 = 10

b)Give the example rule of inference.

Answer 2
a) False
b) Addition

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Question 1

1) given the proposition:

P: You are older than 18.
Q: You are with your parents
R: You can attend a PG-18 movie

a) write the following formulas using P,Q and R and logical connectives.

i) If you are older than 18 or you are with your parent.
Answers:
P v Q

Question 2

1) given the proposition:

p: you get an A in the final exam
q: you do every exercise in this book
r: you miss the final exam

write in word the proposition:
i) q v p
Answer:
you do every every exercise in this book or you get an A in the final exam

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NUR AZMINA BASIRAH BT UBAIDILLAH (13DDT18F1008

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NUR AZMINA BASIRAH BT UBAIDILLAH (13DDT18F1008

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question 1:
P="You can get excelent on the
final exam"
q="You study hard'
-if p then q
answer: if you study hard ,then you can get excelent on the final exam.

question 2:
Is 6 is a positive integer?
answer: not proposition, because it is a question.

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QUESTION 1
Given the proposition
p=Alif goes to school by bus
q=Alif arrives safely at school on time
~p v~q
ASWER 1 :Alif not goes to school by bus or alif not arrives safely at school on time

QUESTION 2
Determine the sentences are proposition or not?state the truth value and give the reason.

Dungun is capital of Malaysia
ASWER 2 :Proposition,false because the capital of Malaysia is Kuala Lumpur.

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KHADIJAH SAKINAH BT MD BASRI (13DDT18F1163)

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KHADIJAH SAKINAH BT MD BASRI (13DDT18F1163)

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P = we turn off the water
Q=  the water stops pouring

Question 1 :  P -> Q
Answer : If we turn off the water , then the water will stop pouring .

Question 2 : Identify of these sentences  which is propositon or not proposition.

1) Is that your house?
Answer : Not Proposition because it has a question mark.

2 :
a) 3+5=8  (TRUE)
b) One plus three equals six (FALSE)

Answer : Proposition because the statement has a value that is either true(T) or false(F), but not both.

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MUHAMMAD RAFIQI AQLAN BIN ASMADI (13DDT18F1023)

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MUHAMMAD RAFIQI AQLAN BIN ASMADI (13DDT18F1023)

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Conditional IF p, THEN q
p -> q

QUESTION 1
R = "You will fail in final exam"
S = "You didn't study"
Answer 1
If you didn't study, then you will fail in final exam
S -> R

Conjunction AND  ^

QUESTION 2
T= "Today is Sunday"
U= "It is sunny"

Answer 2
Today is Sunday and it is sunny
T ^ U

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NURUL ASSYIKIN BINTI MOHD FAIZAL(13DDT18F1028)

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NURUL ASSYIKIN BINTI MOHD FAIZAL(13DDT18F1028)

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QUESTION 1
P=" I  will get the present"
Q=" I get an A in Discrete Mathematics"
Answer 1
I will get the present  if and only if I get an A in Discrete Mathematic.
QUESTION 2
P=I will have salad for lunch
Q= I will have steak for dinner
Answer 2
P^Q=I will have salad for lunch AND i will have steak for dinner

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NUR HANNAH SURAYA BT AZHAR (13DDT18F1083)

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NUR HANNAH SURAYA BT AZHAR (13DDT18F1083)

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Question 1
p= Jen has allergy with flower
q= She will get sick
-If p, Then q
p
Answer 1
If Jen has allergy with flower, then she will get sick.

Question 2
Determine which of these sentences is propositions.

Do you know that you will fail if you do not submit this assignment on time ?
Answer 2
Not a proposition because have a question mark.

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NIK NURUL AMALIEN BINTI NIK MUSTAPHA KAMIR (13DDT18F1043)

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NIK NURUL AMALIEN BINTI NIK MUSTAPHA KAMIR (13DDT18F1043)

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QUESTION 1
p = Ayep goes to school by bicycle
q = Ayep arrives safely at school on time
i) ~pv~q

answer1
Ayep not goes to school by bicycle or Ayep not arrives safely at school on time

QUESTIONS 2
Azhar is either likes reading and playing football.Azhar dislike reading.Therefore,Azhar likes playing football

answer 2
p^q
~p
--------
q

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QUESTION 1
P = most children like cookies
q = most children like milk
i) p^q

answer 1
most children like cookies and milk.

QUESTION 2
if i finish my assignment now, then i will send the assignment in cidos later. I do not sent the assignment later. therefore I do not finish the assignment now.

write the rules of inference and names of rule based on the statement given.

answer 2
modus tollens

p -> q
~q
------------
~p

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NUR  FARAHIYAH BINTI MAH HUSIN (13DDT18F1013)

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NUR  FARAHIYAH BINTI MAH HUSIN (13DDT18F1013)

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Question
I will go back to Pahang when Chinese New Year or i will go back to London, but not both.

1)Find the propotions P & Q;
=p= I will go back to Pahang when    Chinese New Year.
=Q=  I will go back to London.
Using Exclusive-OR,

2) Write the operator based on the statement given
= Exclusive-OR

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Nur Laili Idayu Binti Rosli (13DDT18F1018

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Nur Laili Idayu Binti Rosli (13DDT18F1018

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Question 1
p = Ayu feel hungry.
q = She cook some food to eat.
i)  IF p, THEN q
Answer 1
Ayu feel hungry, then she cook some food to eat.
Question 2
10 + 10 = 30
Answer 2
False Proposition (F)

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DBM20331. As an exercise, find a questions and answer about CHAPTER 1 (any subtopic).2. Two questions for each one person.3. Please write your name and registration no. properly.2. Lastly, post your exercise  here.Best Regard,Pn. Norhafiza binti Idris

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DBM20331. As an exercise, find a questions and answer about CHAPTER 1 (any subtopic).2. Two questions for each one person.3. Please write your name and registration no. properly.2. Lastly, post your exercise  here.Best Regard,Pn. Norhafiza binti Idris

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4.1    Understand  Mathematical Induction.
4.2    Apply recursion

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3.1 Understand concept of Graphs 3.2 Understand concept of Trees.

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2.1 Understand sets and set
operations
2.2 Explain functions.

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Sets Relations & Functions: Basic Definitions - Class 11th & IIT-JEE - 01/32

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1.0 BASIC LOGIC AND PROOFS
1.1 Understand Propositional Logic. 1.2 Understand Predicate Logic.

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This workbook consists of questions that are organized systematically according to each topic. This aims to help and guide the students to understand every topic better as well as aiding their learning process.

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MY STUDENT (DDT2-S3), PLEASE INTRODUCE YOURSELF FIRST...
TQ