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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Solving Absolute Value Inequalities

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Exercise 32 Page 92

Rewrite the absolute value inequality as a compound inequality.

True

Practice makes perfect

The easiest way to verify if a satisfies the two given inequalities is by rewriting the absolute value inequality as a compound inequality.

|x+3|>8 Since the absolute value is greater than 8, we can rewrite this absolute value inequality as as an or compound inequality. x+3>8 or x+3<-8 Notice that one of these inequalities is the same as the given inequality. This means that a will also be a solution to x+3>8. Therefore, the statement is true.

Subchapter links

Communicate Your Answer p.87

Monitoring Progress p.89-90

Exercises p.91-92