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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 19 Page 95

Isolate t on the right-hand side. Start with distributing 6.

No solution.

Practice makes perfect

To solve the inequality, we should use inverse operations to isolate t. We start with distributing 6 to each term inside the parentheses.

6(2t+9)≤12t-1

Distribute 6

(6)2t+(6)9≤12t-1

Multiply

12t+54≤12t-1

LHS-12t≤RHS-12t

54≤-1

This is never true for any value of t because 54 will always be greater than -1. Therefore, there is no solution to this inequality.

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