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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 29 Page 503

Use the Addition Property of Inequality.

Solution: m ≥ 11 15
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 Addition Property of Inequality to solve the inequality.

9 ≤ m - 2 15

LHS+2 15≤RHS+2 15

9 + 2 15 ≤ m - 2 15 + 2 15

Add terms

11 15 ≤ m

Rearrange inequality

m ≥ 11 15

The above tells us that all values of m that are greater than or equal to 11 15 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that m can equal 11 15, 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