If the inequality system x + 5 > 4x − 1x > m − 2 about X has five integer solutions, then the value range of M is______ .

If the inequality system x + 5 > 4x − 1x > m − 2 about X has five integer solutions, then the value range of M is______ .

∵ solve the inequality x + 5 > 4x-1 to get: X < 2, the solution set of solving the inequality x > m-2 is x > m-2, the solution set of the inequality system is m-2 < x < 2, ∵ the inequality system x + 5 > 4x − 1x > m − 2 has five integer solutions, ∵ - 4 ≤ m-2 < - 3, the solution is: - 2 ≤ m < - 1, so the answer is: - 2 ≤ m < - 1