Solving Absolute Value Inequalities

Greater than |x| > 5 -5 5 ≥, > greatOR

Less than |x| < 5 -5 5 ≤, < less thAND

AND – x - 9 x + 9 x + 9 ≤ 22 -x x ≤ 13 x ≥ -31 x + 9 ≤ 22 ≤ 22 ≤ 22 Inequalities: SAME THING! x + 9 ≤ 22 – x - 9 ≤ 22 x + 9 ≤ 22 -x x ≥ -31 x + 9 ≤ 22 x ≤ 13 ≤ 31 AND

OR -2x - 15 -2x x ≤ -10 2x ≥ -10 x ≥ -5 2x + 15 ≥ 5 ≥ 5 ≥5 ≥ 20 Inequalities: Try another one 2x + 15 ≥ 5 -2x - 15 ≥ 5 2x + 15 ≥5 -2x x ≤ -10 ≥ 20 2x ≥ -10 x ≥ -5 OR

OR -2x - 1 -2x 2x ≥ 5 x≤ -3.5 x ≥ 2.5 9 - 2x + 1 ≤ 3 - 2x + 1 ≤ -6 Inequalities: Try another one 9 - 2x + 1 ≤ 3 - 2x + 1 ≤ -6 2x + 1 ≥ 6 -2x - 1 ≥ 6 2x + 1 ≥6 -2x x≤ -3.5 ≥ 7 2x ≥ 5 x ≥ 2.5 OR

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