Consider a number m that is located to the left of 0 on the number line, where the square of m is less than 1/64. What can be said about the reciprocal of m?

Answer Choices

Correct answer marked below

Less than -8

Correct

Between -1 and -1/8

Between -1/8 and 0

Between 0 and 1/8

Greater than 8

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Explanation

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Official Explanation

Official

If m is a number to the left of 0 on the number line such that the square of m is less than 1/64, we have the inequality m^2 < 1/64. Taking the square root gives |m| <…

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Comments

willeMar 18, 2025

Can someone explain it other way?

MocAug 16, 2024

greatt question!

IoleNov 17, 2024

thanksss

What this question tests

What it tests

Your ability to solve and combine linear inequalities and reason about ranges of values.

Common trap

Failing to flip the inequality sign when multiplying or dividing by a negative, or missing an inclusive/exclusive endpoint.