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|x - 10| = 0 What are all possible solutions to the given equation? (May 2023 U.S.)
Updated on 06/25/2024
|x - 10| = 0
What are all possible solutions to the given equation?
A. -10
B. 0
C. 10
D. -10 and 10
Solution
Correct answer: C. 10.
We can solve the equation by recognizing that the absolute value of an expression is zero only when the expression itself is zero.
Steps to solve:1. Recognize the absolute value property:
∣x − 10∣ = 0
Solve the resulting linear equation:
x − 10 = 0
x − 10 + 10 = 0 + 10
(add 10 to both sides)
x = 10
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Absolute Value Definition, Absolute Value Property
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