On the inequality 2x-m of X less than or equal to 0, the positive solution of X is 1.2.3, and the value range of M is obtained

On the inequality 2x-m of X less than or equal to 0, the positive solution of X is 1.2.3, and the value range of M is obtained


First, the inequality is sorted out and transformed into x less than or equal to (M / 2). Because the positive integer solution of X has only 1, 2 and 3, so (M / 2) cannot be greater than or equal to 4, otherwise there will be more positive number solutions (4) ~ and if (M / 2) is less than 3, how can there be x positive number solution with 3? So (M / 2) must be greater than or equal to 3



If the solution of inequality - x + 3 ≤ 2 (2x-m) is x ≥ 2, then M=______ .


-The solution of X + 3 ≤ 2 (2x-m), - x + 3 ≤ 4x-2m, - x-4x ≤ - 3-2m, - 5x ≤ - 3-2m, ∵ x ≥ 3 + 2m5, ∵ inequality - x + 3 ≤ 2 (2x-m) is x ≥ 2, ∵ 3 + 2m5 = 2 ∵ M = 3.5