Exercise 12 Page 361

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.

1/2(x+6)+1 ≥ - 5

MultIneq

LHS* 2 ≥ RHS * 2

x+6+2 ≥ - 10

AddTerms

Add terms

x+8 ≥ - 10

SubIneq

LHS-8≥RHS-8

x ≥ - 18

This inequality tells us that all values greater than or equal to - 18 will satisfy the inequality.