Consider a number y that lies between -7 and 13. Which of the following equations accurately describes the range of y?

Correct answer marked below

|y| - 7 < 6

|y| + 7 < 6

|y - 3| < 10

Correct

|y + 7| < 6

|y + 7| < -1

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Explanation

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Official Explanation

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Given that y is a number between -7 and 13, we can express this as

-7 < y < 13

. By adding 3 to all parts of the inequality, we have [m]-7 - 3…

Comments

NikhilDec 19, 2024

Greatt

TiborJan 30, 2024

thanks for the answer

What this question tests

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

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