Which equation represents all numbers that are five units away from 37?

Answer Choices

Correct answer marked below

|x + 5| = 37

|x - 5| = 37

|x - 37| = 32

|x - 37| = 5

Correct

|x + 37| = 5

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Explanation

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Official Explanation

Official

To find the values of all numbers that are five units away from 37, we need to set up the absolute value equation. The absolute value expression |x - 37| = 5 indicates the distance of x from 37 is 5 units. This can be solved in two cases: Case…

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Comments

AditiNov 29, 2024

can you explain more?

SamruddhiJan 24, 2024

Thanks

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.