Absolute Value Inequalities

|2b - 3| ≤ 15  

2b - 3 ≤ 15   → 2b ≤ 15 + 3   → 2b ≤ 18   → b ≤ 18/2   → b ≤ 9  

2b - 3 ≥ -15   → 2b ≥  -15 + 3   → 2b ≥ -12   → b ≥ -12/2   → b ≥  -6  

Can also be written as   -6 ≤ b ≤ 9

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