# data[].attributes.body
p+2<6 or p+2<-6 +4
p<4 or p>-8

# data[].attributes.body
-4 on both sides
p+2<6
-6<p+2<6
|p+2| < 6

# data[].attributes.body
p+2<6
p<4

p+2> -6
p>-8

4>p>-8

# data[].attributes.body
-4 on both sides
p+2<6
-2 on both sides
p<4

# data[].attributes.body
p+2 < 6              p+2 > -6
subtract 2 on both sides
p < 4                   p > -8

# data[].attributes.body
subtract 4 on both sides
p + 2 < 6
-6 < p + 2 < 6
subtract 2 on all sides
-8 < p < 4

# data[].attributes.body
|p + 2| < 6      (Subtract 4 on both sides)
-6 < p + 2 < 6         (Subtract 2 on both sides)

# data[].attributes.body
p+2=-6
subtract 2 on both sides
p<-8

condition 2
p+2=6
subtract 2 on both sides
p<4

# data[].attributes.body
|p+2| < 6

# data[].attributes.body
|p+2|-4<10
|p+2|<6
-6<p+2<6
-2    -2   -2
-8 < p < 4

# data[].attributes.body
subtract 4 on both sides
p + 2 < 6
-6 < p + 2 < 6
subtract 2 on both sides
-8 < p < 4

# data[].attributes.body
|p+2|-4<10
|p+2|<6
-6<p+2<p

# data[].attributes.body
-4      -4
p + 2 < 6
-6 < p + 2 < 6

# data[].attributes.body
|p + 2| + 4 + -4 < 10 + -4
|p+2| < 6
p + 2 < 6
Condition 1
p + 2 - 2 < 6  - 2 (Subtract 2 from all sides)
P < 4
Condition 2
P + 2 > -6
P + 2 - 2 > -6 -2 (Subtract 2 from all sides)
P > -8
P < 4 and P > -8

# data[].attributes.body
p+2<6
p<4

p+2>-6
p>-8

p<4 and p>-8

# data[].attributes.body
|p + 2| + 4 < 10
Find the value of p.

# data[].attributes.body
|x+4|<3
-3<x-4<3
-3+4<x-4<3+4
1<x<7

# data[].attributes.body
-3 < x-4 < 3
+4 +4 +4
1 < x < 7

# data[].attributes.body
lx+4l<3
-3<x-4<3
+4   +4 +4
1<x<7

# data[].attributes.body
-3<x-4<3
1<x<  7
x>1 or x<7

# data[].attributes.body
x-4<3
x<7
and
x-4>-3
x>1
1<x<7

# data[].attributes.body
|x-4|<3
- 3 < x - 4 < 3
+4     +4   +4
1<x<7

# data[].attributes.body
-3<x-4<3
-3 + 4 < x -4 + 4< 3+4
1<x<7

# data[].attributes.body
|x-4| < 3

# data[].attributes.body
-3 < x-4 < 3
+4    +4    +4
1< x < 7

# data[].attributes.body
-3<x-4<3
-3+4<x-4+4<3+4
1<x<7

# data[].attributes.body
add 4 on both sides
x<7

# data[].attributes.body
-3 < x-4 < 3
-3+4 < x-4+4 < 3+4
1 < x < 7

# data[].attributes.body
-3<x-4<3
1 < x < 7

# data[].attributes.body
-3<x-4<3
add four to all sides
answer: 1<x<7

# data[].attributes.body
-3 < x -4 < 3
-3 + 4 < x -4 + 4 < 3 + 4
1 < x < 7

# data[].attributes.body
-3<x-4<3
-3+4<-4+4<3+4
1< x <7

# data[].attributes.body
-3<x-4<x-4+4+4<3+4
1<x<7

# data[].attributes.body
-3<x-4<3
-3+4<-4+4<3+4
1<x<7

# data[].attributes.body
-3 < x - 4 < 3
-3 + 4 < x - 4 + 4 < 3 + 4
(Add 4 to all sides)
1 < x < 7

# data[].attributes.body
|x-4|<3
-3<x-4<3
-3+4<x-4+4<3+4
1<x<7

# data[].attributes.body
|x-4|<3
-3<x-4<3
-3+4<3
-3+4<x-4+4<3+4
1<x<7

# data[].attributes.body
|x-4|<3
Find the value of x.

# data[].attributes.body
X=1 or X=-1

# data[].attributes.body
x+1<3
x<2

Ix+1I < 3

# data[].attributes.body
x + 1 < 3
x < 2

x + 1< -3

# data[].attributes.body
|x+1|<3
x<2

|x+1|<-3
x<-4

# data[].attributes.body
lxlx+1l<3       l
x+1<3
x<2

# data[].attributes.body
x+1<3
x<2
x+1>-3
x>-4

# data[].attributes.body
minus 1
x<2
|x+1|<-3
x<-4

# data[].attributes.body
x+1<3
x<2

# data[].attributes.body
|X+1|<3
subtract 1
X<3
And
|X+1|>-3
Subtract 1
X>-4

# data[].attributes.body
subtract 1 both sides
x<2
lx+1l<-3
subtract 1 both sides
x>-4

# data[].attributes.body
|x+1|<3
x+1<3
x<2
or
|x+1|<3
x+1<-3
x>-4

# data[].attributes.body
lx+1l < 3
-1 from both sides
x<2

# data[].attributes.body
subtract one on both problems on both sides
x< 2                     x < -4

# data[].attributes.body
x+1<3
x<2

Ix+1I < 3
x+1<-3
x>-4

# data[].attributes.body
|x+1| < 3
x+1< 3
x < 2

|x+1| < -3
x < -4

x < 2 x < -4

# data[].attributes.body
lx+1l < 3
x+1 < 3
x < 2

lx+1l < -3
x+1 < -3
x>-4

# data[].attributes.body
x + 1 < 3
x < 2

|x + 1| < -3
x + 1 < -3
x > -4

# data[].attributes.body
|x+1| < 3
x+1 < 3
x < 2

|x+1| < 3
x+1 < -3
x > -4

x < 2 and x > -4

# data[].attributes.body
x+1<3
x<2

x+1>-3
x>-4

# data[].attributes.body
|x+1|<3
x+1<3
x<2
x+1>-3
x>-4

# data[].attributes.body
x+1<3
x<2
and
x+1> -3
x> -4

# data[].attributes.body
X = 1 or -1

# data[].attributes.body
|x+1|<3
x+1<3 subtract 1 from both sides
x<2

|x+1|<-3
x+1<-3 subtract 1 from both sides
x>-4
x < 2, x > -4

# data[].attributes.body
Condition 1
x + 1 - 1 < 3 - 1 : Subtract 1 from both sides
x < 2

Condition 2
x + 1 > -3
x + 1 - 1 > -3 - 1 : Subtract 1 from both sides
x > -4

X < 2 and x > -4

# data[].attributes.body
|x+1|<3
Find the value of x.

# data[].attributes.body
3|3x + 2| = 9x.      divide by 3
|3x + 2|= 3x.          subtract 3x
2 = 0.                   no solution

|3x + 2|= -3x.       subtract 3x
2 = -6x
-1/3= x

# data[].attributes.body
3|3x+2|=9x
|3x+2|=3x

|3x+2|=3x
2/=0

|3x+2|=-3x
6x+2=0
6x=-2
x=-1/3

# data[].attributes.body
divide both sides by 3
3x + 2 = 3x
subtract 3x on both sides
2 = 0
and the second equation is
3x + 2 = -3x
subtract 3x from both sides
2 = -6x
-6x = 2
divide both sides by -6
x = -1/3

# data[].attributes.body
3|3x+2|=9x

# data[].attributes.body
3x+2=3x
x=2
3|3x+2|=9x
3x+2=-3x
no solution

# data[].attributes.body
Divide by three on both sides
I3x+2I = 3x
subtract three on both sides
2=0

# data[].attributes.body
3|3x+2|=9x
3x+2=3x
2=0

3x+2= -3x
6x=-2
x= -1/3

# data[].attributes.body
divide 3 on both sides
l3x+2l=3x
subtract 3 on both sides
2=0

# data[].attributes.body
Divide both sides by 3
|3x + 2| = 3x
Subtract both sides by 3x
2 = 0    (No solution)
or
3|3x + 2| = -9x
Divide both sides by 3
3x + 2 = -3x
Subtract both sides by 3x
2 = -6x
Divide both sides by -6x
x = -0.3

# data[].attributes.body
divide by 3 both sides
3x+2=3x
subtract 3x
2=0 no solution
3x+2=-3x
subtract 3x
2=-6x
divide by -6x
x=-0.33

# data[].attributes.body
divide both sides by 3
|3x+2|=3x
subtract 3x on both sides
2=0
or
3l3x + 2l = -9x
divide both sides by 3
|3x+2|=-3x
subtract both sides by 3x
2=-6x
divide both sides by -6
x=-0.33

# data[].attributes.body
divide 3 on both sides
|3x+2|=3x
minus 3 on both sides
2=0
or
3l3x+2l=-9x
divide 3 on both sides
3x+2=-3x
minus three on both sides
2=-6x
divide -6 on both sides
x=-1/3

# data[].attributes.body
3l3x+2l=9x
divide both sides by 3
l3x+2l=3x
Subtract 3x on both sides
2=0
No solution
3l3x+2l=-9x
divide both sides by 3
3x+2=3x
subtract both sides by 3x
2=-6x
divide both sides by -6
x=-0.33/-1/3

# data[].attributes.body
3|3x+2|=9x
|3x+2|=3x
3x+2=3x
2=0x
no soulution

3|3x+2|=9x
|3x+2|=3x
3x+2=-3x
2=-6x
x= -1/3

# data[].attributes.body
3|3x+2|=9x
3x+2=3x
2=x
3|3x+2|=9x
3x+2=-3x
x=-0.3
no solution

# data[].attributes.body
|3x+2|=3x
3x+2=3x
x=2
3|3x2|=9x
3x+2=-3x
no solution

# data[].attributes.body
3l3x + 2l = 9x
|3x+2|=3x
3x+

# data[].attributes.body
3|3x+2|=9x
3x+2=3x
2=0
no solution
3|3x+2|=9x
3x+2=-3x
6x+2=0
6x=-2
x=-1/3

# data[].attributes.body
3|3x + 2| = 9x
3x+2=3x
2=0 no solution

3|3x+2|=9x
3x+2=-3x
3x+3x=-2
6x=-2
x=-0.33 or -1/3
no solution

# data[].attributes.body
|3x+2|=3x
3x+2=3x
2=0 no solution

3|3x+2|=9x
3x+2=-3x
6x=-2
x=-1/3
There is no solution

# data[].attributes.body
3l3x + 2l = 9x
Find the value of x.

# data[].attributes.body
x=-1

# data[].attributes.body
4 |x - 2| = 8x - 4
4 |-1 + -2| = -8 + - 4
4 |-3| = -12
12=-12 is false

4|1-2|=8(1)-4
4(1)=8-4
4=4 is true