Given that a and B are real numbers, and the solution set of inequality | (a + 2) x-2a + 1 | < B about X is - 1 < x < 3, then the value of a + B is () A. 3 or 7b. 13C. 7 or 8D. 8 or 13

Given that a and B are real numbers, and the solution set of inequality | (a + 2) x-2a + 1 | < B about X is - 1 < x < 3, then the value of a + B is () A. 3 or 7b. 13C. 7 or 8D. 8 or 13

From the meaning of the problem, we can get that - 1 and 3 are two of the equations | (a + 2) x-2a + 1 | = B, and | - (a + 2) - 2A + 1 | = B, and | - 3 (a + 2) - 2A + 1 | = B. we can get a = 3, B = - 2, or a = 3, B = 10