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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

5. Solving Inequalities Using Addition or Subtraction

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Exercise 14 Page 155

Use the Subtraction Property of Inequality.

Solution: g ≥ - 4
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.

3 ≤ 7 + g

LHS-7≤RHS-7

3 - 7 ≤ 7 + g - 7

CommutativePropAdd

Commutative Property of Addition

3 - 7 ≤ g + 7 - 7

Subtract terms

- 4 ≤ g

Rearrange inequality

g ≥ - 4

The above tells us that all values of g that are greater than or equal to - 4 will satisfy the inequality. Below we demonstrate the inequality by graphing the solution set on a number line. Notice that g can equal - 4, which we show with a closed circle on the number line.

Subchapter links

Try It p.152-153

Self-Assessment for Concept & Skills p.153

Self-Assessment for Problem Solving p.154

Review & Refresh p.155

Concept, Skills, & Problem Solving p.155-156