Given the function y = (A-2) x-3a-1, when the value range of the independent variable x is 3 ≤ x ≤ 5, y can reach a value greater than 5 and a value less than 3, then the value range of the real number a is () A. A < 3B. A > 5C. A > 8D. Any real number

Given the function y = (A-2) x-3a-1, when the value range of the independent variable x is 3 ≤ x ≤ 5, y can reach a value greater than 5 and a value less than 3, then the value range of the real number a is () A. A < 3B. A > 5C. A > 8D. Any real number

If A-2 > 0, that is, a > 2, the function is an increasing function. According to the meaning of the problem, when x = 5, y > 5, that is, (A-2) × 5-3a-1 > 5, the solution is a > 8; when x = 3, y < 3, that is, (A-2) × 3-3a-1 < 3, no matter what the real number inequality of a is, a > 8; if a = 2, y = - 7, it is not the meaning of the problem; if A-2 < 0, that is a < 2, the function is a decreasing function; when x = 3, y > 5, that is (A-2) × 3-3a-1 > 5, it is a > 2 The inequality does not hold. Therefore, there is no such case