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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

6. Solve Inequalities by Addition or Subtraction

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Exercise 8 Page 501

Use the Subtraction Property of Inequality.

Solution: t < - 18
Graph:

Practice makes perfect

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 Subtraction Property of Inequality to solve the inequality.

- 11 > t + 7

LHS-7>RHS-7

- 11 - 7 > t + 7 - 7

Subtract terms

- 18 > t

Rearrange equation

t < - 18

The above tells us that all values of t that are less than - 18 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that t can not equal - 18, which we show with an open circle on the number line.

Subchapter links

Guided Practice p.500

Independent Practice p.501-502

H.O.T. Problems p.502

Standardized Test Practice p.502-504

Extra Practice p.503

Common Core Review p.504