Which of the following expressions is equal to −1 for some values of x?
Correct answer: D. |1-x|-2
- A. |1-x|+6
- B. |1-x|+4
- C. |1-x|+2
- D. |1-x|-2
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.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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