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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 20 Page 95

Begin by distributing 3 to each term inside the parentheses.

All real numbers.

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 solve the inequality by isolating r on one side. Start with distributing 3 to each term inside the parentheses.

3r-8>3(r-6)

Distribute 3

3r-8>r(3)-6(3)

Multiply

3r-8>3r-18

LHS-3r=RHS-3r

-8>-18

This is always true for any value of r because -8 will always be greater than -18. Therefore, the solution is all real numbers. Below we demonstrate the inequality by graphing the solution set on a number line.

Subchapter links

1 Writing and Graphing Inequalities p.94

2 Solving Inequalities Using Addition or Subtraction p.94

3 Solving Inequalities Using Multiplication or Division p.95

4 Solving Multi-Step Inequalities p.95

5 Solving Compound Inequalities p.96

6 Solving Absolute Value Inequalities p.96