The number of integers n satisfying the inequality 3|n-1| - 2n > 2|3n + 1|is______ ． | Math enthusiast | Mathematical art

The number of integers n satisfying the inequality 3|n-1| - 2n > 2|3n + 1|is______ ．

Discussion on zero point n = 1, n = − 13 between partitions: (1) when n ＜− 13: - 3 (n-1) - 2n ＞ - 2 (3N + 1), - 5N + 3 ＞ - 6n-2, n ＞ - 5, - 5 ＜ n ＜− 13, then integer n = - 4, - 3, - 2, - 1; (2) when − 13 ＜ n ≤ 1: - 3 (n-1) - 2n ＞ 2 (3N + 1), - 5N + 3 ＞ 6N + 2, 11n ＜ 1, n ＜ 111

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