On the inequality system of X: 2x + 53 > x − 5x + 32 < x + A has five integer solutions, then the value range of a is______ .

On the inequality system of X: 2x + 53 > x − 5x + 32 < x + A has five integer solutions, then the value range of a is______ .

2X + 53 > & nbsp; X − 5 & nbsp; & nbsp; ① x + 32 < & nbsp; X + A & nbsp; & nbsp; ②, solve inequality ①, get x < 20, solve inequality ②, get x > 3-2a, ∵ inequality group has five integer solutions, which are: 19, 18, 17, 16, 15, ∵ 14 ≤ 3-2a < 15, get - 6 < a ≤ - 112