Which of the following equations represents the solution set for all real numbers that are 8 units away from -5?

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Correct answer marked below

|{x + 5}| = 8

Correct

|{x - 5}| = 8

|{x + 8}| = 3

|{x - 8}| = 3

|{x + 8}| = -3

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Explanation

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Official Explanation

Official

To find the numbers that are 8 units away from -5, we calculate -5 + 8 = 3 and -5 - 8 = -13. The two solutions are 3 and -13, which satisfy only the first…

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Comments

krishnaSep 16, 2024

Can someone explain it other way?

christianJul 24, 2024

thanks for the answer

What this question tests

What it tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Common trap

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.