Exercise 69 Page 523

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

5(x-11)+13≥ 47

SubIneq

LHS-13≥RHS-13

5(x-11)≥34

DivIneq

.LHS /5.≥.RHS /5.

x-11≥34/5

AddIneq

LHS+11≥RHS+11

x≥34/5+11

AddTerms

Add terms

x≥89/5

CalcQuot

Calculate quotient

x≥17 45

This inequality tells us that all values greater than or equal to 17 45 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that x can equal 17 45, which we show with a closed circle on the number line.