Question

Solving inequalities using multiplication and division examples with solution

Answer 1

Solving inequalities is very similar to solving equations, but sometimes you have to reverse the symbol. We discussed in the last lesson that if you want to switch sides of the equation, you must reverse the symbol. There is one other time.

You must reverse the inequality symbol when you multiply or divide both sides of the equation by a negative number. 

1) It must be multiplication or division (not addition or subtraction)
2) The number being multiplied or divided must be negative.

Answer 2

Hi there!

Step-by-step explanation:

For example:

Multiplication Properties of Inequality

C is positive

a<b, then ac<bc ← -2<3

a>b, then ac>bc ←-2(4)<3(4)

C is negative

a<b, then ac>bc ← -2<3

a>b, then ac<bc ←-2(-4)>3(-4)

Division property of inequality

c is positive

a<b, then a/c<b/c ← 2<8

a>b, than a/c>b/c ←2/4<8/4

C is negative

a<b, then a/c>b/c ←2<8

a>b, then a/c<b/c ← 2/-4>8/-4

Hope this helps!

Thanks!

-Charlie