GMAT Practice Question: If x=-|w|, which of the following must be true?
Question
If x=-|w|, which of the following must be true?
- x=-w
- x=w
- x^{2}=w
- x^{2}=w^{2}
- x^{3}=w^{3}
Topics: absolute values, exponents, must be true statements
Solution
Step 1
We translate the given condition into a mathematical equation.
x = -|w|
Step 2
We square both sides to remove the absolute value and the negative sign.
x^2 = w^2
Answer
x^2 = w^2 (Answer D)
