Exercise 22 Page 503

Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. Let's use the Addition Property of Inequality to solve the inequality.

t - 6.2 < 4

AddIneq

LHS+6.2

t - 6.2 + 6.2 < 4 + 6.2

AddTerms

Add terms

t < 10.2

The above tells us that all values of t that are less than 10.2 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that t can not equal 10.2, which we show with an open circle on the number line.