Exercise 6 Page 509

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when we divide or multiply by a negative number, we must reverse the inequality sign.

-56 ≤ -8 x

DivNegIneq

Divide by -8 and flip inequality sign

-56/-8 ≥ x

DivNegNeg

- a/- b=a/b

56/8 ≥ x

CalcQuot

Calculate quotient

7 ≥ x

RearrangeIneq

Rearrange inequality

x ≤ 7

The above tells us that all values of x that are less than or equal to 7 will satisfy the inequality.