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Question
which inequality is true?
$4 \times \frac{6}{5} < 4$
$4 \times \frac{6}{5} > 4$
why is it true? complete the sentence.
since $\frac{6}{5}$ is , multiplying by $\frac{6}{5}$ makes the value .
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Step1: Calculate the product
$4 \times \frac{6}{5} = \frac{24}{5} = 4.8$
Step2: Compare product to 4
$4.8 > 4$
Step3: Analyze the fraction
$\frac{6}{5} = 1.2$, which is greater than 1. Multiplying a positive number by a value greater than 1 increases the original number.
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True inequality: $4 \times \frac{6}{5} > 4$
Completed sentence: Since $\frac{6}{5}$ is greater than 1, multiplying by $\frac{6}{5}$ makes the value increase.