The solution set of inequality x + 3 ＞| 2x-1 | is______ ． | Math enthusiast | Mathematical art

The solution set of inequality x + 3 ＞| 2x-1 | is______ ．

① When 2x-1 ≥ 0, i.e. x ≥ 12, the inequality is changed to: x + 3 > 2x-1, and the solution set is: x < 4, in this case, the solution set is: [- 12,4]; when 2x-1 < 0, i.e. x < 12, the inequality is changed to: x + 3 > 1-2x, and the solution set is: (- 23,12). In conclusion, the solution set of the original inequality is: [- 12,4) ∪ (- 23,12) = (- 23,4)

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