Which of the following expressions is equal to −1 for some values of x?

Explanation

Option A) 1 - x = -6 1 + 6 = x x= 7 Option B) - 4=1 - x X = 5 Option C) 1 - x = -2 1 + 2 = x Option D) 1 - x =2 1 - 2 = x = -1 The correct answer is Option D. When |1-x| = 2, the expression |1-x|-2 can be equal to -1 for x = -1. Options A, B, and C are incorrect because they do not account for the absolute value's behavior and the conditions required for the expression to equal -1.