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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 2 Page 89

Absolute values are always non-negative.

Solution Set: No solution.
Graph:

Practice makes perfect

All absolute value expressions are greater than or equal to zero. It follows then that no absolute value expressions can be less than or equal to a negative number.

|k-3|≥ 0 ⇒ |k-3| ≮ - 1 This means there is no value of k that will satisfy the inequality. Therefore, there is no solution. We can represent this graphically on a number line by showing that no values are included in the solution set, so no values are shaded.

Subchapter links

Communicate Your Answer p.87

Monitoring Progress p.89-90

Exercises p.91-92