Video: Checking the Validity of a Rational Inequality

Given that 𝑚 = 11, is the inequality 8𝑚 ≤ 64 true or false?

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Video Transcript

Given that 𝑚 equals 11, is the inequality eight 𝑚 is less than or equal to 64, true or false?

We have an inequality eight 𝑚 is less than or equal to 64. And we’ve been told that 𝑚 equals 11. If we plug in 11 for the value of 𝑚, we’ll need to multiply eight times 11. And we need to decide is eight times 11 less than or equal to 64? Eight times 11 equals 88. Our statement now says 88 is less than or equal to 64. Since 88 is definitely not less than 64, the statement, eight times 11 is less than or equal to 64, is false.

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