Exercise 1 Page 292

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

x-3>7

AddIneq

LHS+3>RHS+3

x>10

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