Exercise 17 Page 95

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 you divide or multiply by a negative number, you must reverse the inequality sign.

7-3n≤ n+3

AddIneq

LHS+3n≤RHS+3n

7≤ 4n+3

SubIneq

LHS-3≤RHS-3

4≤ 4n

DivIneq

.LHS /4.≤.RHS /4.

1≤ n

RearrangeIneq

Rearrange inequality

n≥ 1

This inequality tells us that all values greater than and equal to 1 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that n can equal 1, which we will show with a closed circle on the number line.