When x is an integer, the difference between formula 9x + 27 and 3x − 142 is greater than 6 but not greater than 8

When x is an integer, the difference between formula 9x + 27 and 3x − 142 is greater than 6 but not greater than 8

According to the meaning of the question, 9x + 27 − 3x − 142 > 6 (1) 9x + 27 − 3x − 142 ≤ 8 (2), solution (1) is x < 6, solution (2) is x ≥ - 313, so the solution set of the inequality system is - 313 < x < 6, so the integers of X satisfying the condition are - 3, - 2, - 1, 0, 1, 2, 3, 4, 5