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What is the range of the solutions to the equation |x^2 –

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by Brent@GMATPrepNow » Mon Aug 26, 2019 6:04 am
BTGmoderatorDC wrote:What is the range of the solutions to the equation |x² - 1| = 0 ?

A. 0
B. 1
C. 2
D. 3
E. 5
If |x² - 1| = 0, then we can be certain that: x² - 1 = 0
Add 1 to both sides: x² = 1
So, EITHER x = 1 OR x = -1

Range of solutions = 1 - (-1) = 2

Answer: C

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by Scott@TargetTestPrep » Tue Aug 27, 2019 5:17 pm
BTGmoderatorDC wrote:What is the range of the solutions to the equation |x^2 - 1| = 0 ?

A. 0
B. 1
C. 2
D. 3
E. 5

OA C

Source: Veritas Prep
The only way |x^2 - 1| = 0 is if x^2 - 1 = 0. Let's solve it:

x^2 - 1 = 0

(x - 1)(x + 1) = 0

x = 1 or x = -1

Thus, the range is 1 - (-1) = 2.

Answer: C

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