Exercise 67 Page 523

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated.

6a-17<47

AddIneq

LHS+17

6a<64

DivIneq

.LHS /6.<.RHS /6.

a<64/6

CalcQuot

Calculate quotient

a<10 23

This inequality tells us that all values less than 10 23 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that a cannot equal 10 23, which we show with an open circle on the number line.