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The sum of a number and 8 is no more than the square of the difference of the number and 4.Which of the following inequalities can be used to determine the unknown number?

The sum of a number and 8 is no more than the square of the difference of the number-example-1

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The word expression can be represented as follows

let

the number = x

Therefore,


\begin{gathered} Sum\text{ of a number and 8 = x+8} \\ \text{square of the difference of the number and 4=(x-4)}^2 \\ x+8<(x-4)^2 \end{gathered}

The answer is D.

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