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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)
Distr

Distribute 3

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

Multiply

3r-8>3r-18
SubEqn

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 expand_more
arrow_right 1 Writing and Graphing Inequalities p.94
1
Writing and Graphing Inequalities 2 (Page 94)
Writing and Graphing Inequalities 3 (Page 94)
Writing and Graphing Inequalities 4 (Page 94)
Writing and Graphing Inequalities 5 (Page 94)
arrow_right 2 Solving Inequalities Using Addition or Subtraction p.94
Solving Inequalities Using Addition or Subtraction 6 (Page 94)
Solving Inequalities Using Addition or Subtraction 7 (Page 94)
Solving Inequalities Using Addition or Subtraction 8 (Page 94)
arrow_right 3 Solving Inequalities Using Multiplication or Division p.95
Solving Inequalities Using Multiplication or Division 9 (Page 95)
Solving Inequalities Using Multiplication or Division 10 (Page 95)
Solving Inequalities Using Multiplication or Division 11 (Page 95)
Solving Inequalities Using Multiplication or Division 12 (Page 95)
Solving Inequalities Using Multiplication or Division 13 (Page 95)
Solving Inequalities Using Multiplication or Division 14 (Page 95)
arrow_right 4 Solving Multi-Step Inequalities p.95
Solving Multi-Step Inequalities 15 (Page 95)
Solving Multi-Step Inequalities 16 (Page 95)
Solving Multi-Step Inequalities 17 (Page 95)
Solving Multi-Step Inequalities 18 (Page 95)
Solving Multi-Step Inequalities 19 (Page 95)
Solving Multi-Step Inequalities 20 (Page 95)
arrow_right 5 Solving Compound Inequalities p.96
Solving Compound Inequalities 21 (Page 96)
Solving Compound Inequalities 22 (Page 96)
Solving Compound Inequalities 23 (Page 96)
arrow_right 6 Solving Absolute Value Inequalities p.96
Solving Absolute Value Inequalities 24 (Page 96)
Solving Absolute Value Inequalities 25 (Page 96)
Solving Absolute Value Inequalities 26 (Page 96)
Solving Absolute Value Inequalities 27 (Page 96)
Solving Absolute Value Inequalities 28 (Page 96)
Solving Absolute Value Inequalities 29 (Page 96)
Solving Absolute Value Inequalities 30 (Page 96)