Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
6. Solving Absolute Value Inequalities
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Exercise 7 Page 91

Solution Set: All real numbers.
Graph:

Practice makes perfect
All absolute value expressions are greater than or equal to zero. It follows then that any absolute value expression is greater than all negative numbers.

|2s-7|≥ 0 ⇒ |2s-7|>-1 This means any value of s will satisfy the inequality. Therefore, there are infinitely many solutions, and the solution set is the set of all real numbers. We can represent this graphically on a number line by showing that all values are included in the solution set, so all values are shaded.