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1: |x|<5All real numbers x < -5 or x > 5 x < -5 and x > 5 x > -5 and x < 5 2: |x| ≥ 2x ≤ -2 or x ≥ 2 -2 ≥ x ≤ 2 -2 ≤ x ≥ 2 x ≥ -2 or x ≤ 2 3: |x - 2| ≤ 1x ≥ 1 and x ≤ 3 x ≥ 1 or x ≤ 3 x ≥ -1 and x ≤ 3 no solution 4: |x + 1| ≥ 3All real numbers x ≤ -4 or x ≥ 2 x ≥ -4 or x ≥ 2 no solution 5: |2x - 5| < 23/2 > x < 7/2 3/2 > x > 7/2 x > 3/2 or x < 7/2 x > 3/2 and x < 7/2 6: |x - 3| < 2x < -1 and x < 5 -1 < x < 5 x < -1 and x > 5 x > 1 and x < 5 7: |x| ≤ 2x > -2 and x < 2 x ≥ -2 and x ≤ 2 x > -2 or x < 2 x ≥ -2 or x ≤ 2
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