16Hit1600
Advanced MathEasy–MediumNegative solution of an absolute-value equation

Advanced Math practice question

If |x − 4| = 6 and x < 0, what is the value of x?

Answer: -2

x − 4 = 6 or x − 4 = −6, so x = 10 or x = −2. The negative solution is −2.

Common wrong answers

If you answered 2
2 has the sign wrong.
If you answered 10
10 is the positive solution.
If you answered -10
−10 uses x + 4 = −6.

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