Solving Multi-Step Inequalities by Jonathan Swenson

Problem 3

371603 — 2018-10-16 18:27:36 UTC

8(9x+5)>7-3

Problem 2

371603 — 2018-10-16 18:33:19 UTC

8x+13<9-10(9)

Problem 1

371603 — 2018-10-16 18:35:00 UTC

9x-4≤4+8(8)

Example Video

371603 — 2018-10-16 18:48:22 UTC

Practice Problem

371603 — 2018-10-17 19:10:44 UTC

-2+-7y<5

Add 2 to both sides
-2+-7y+2<5+2

Simplify
-7y<7

In the next step, you will divide both sides of the inequality by a negative number. Be sure to also reverse the direction of the inequality symbol.(THE BIG NEGATIVE)

Divide both sides by -7 and reverse the inequality symbol
-7y-7>7-7

Simplify
y>-1

Tips/Hints for Solving Multi-Step Inequalities

371603 — 2018-10-17 19:12:16 UTC

"THE BIG NEGATIVE"
This rule is that if you have a negative as an inequality then you invert the sign (>,≤,<,≥...)