6. Solving Absolute Value Inequalities
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Absolute values are always non-negative.
Solution Set: All real numbers.
Graph:
|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.