Question

solve the inequality. then graph the solution set. |x - 2| < 7
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Explanation:

Step1: Recall absolute - value inequality rule

If \(|u|\lt a\) (\(a>0\)), then \(-a < u < a\). Here \(u=x - 2\) and \(a = 7\), so \(-7

Step2: Solve the compound inequality

Add 2 to all parts of the compound inequality: \(-7+2\(-5

Answer:

The solution set is \(-5