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Find your Math Personality!
Solve for x: |x| − 8 = −5
A. x = −13 and x = −3
B. x = 3 and x = −3
C. x = 3 and x = 13
D. No solution
An equation is a mathematical statement with an 'equal to' symbol between two algebraic expressions that have equal values.
Answer: B. x = 3 and x = −3
An equation is like a weighing balance with equal weights on both sides. The absolute value of any number is always a positive number.
Explanation:
First, we have to isolate the absolute on the left side of the equation |x| − 8 = −5 by adding 8 on both sides.
|x| − 8 = −5
|x| − 8 + 8 = −5 + 8
|x| = 3
Now open the absolute symbol by applying ± sign before 3,
|x| = 3
x = ± 3
So, the solution of the equation |x| − 8 = −5 are, x = 3 and x = −3
Therefore, the correct option is, B. x = 3 and x = −3
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