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# Linear inequality problem.. Help?

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What is the greatest integer that is a solution to the inequality $12 > \frac{x}{2} +1$?

Apr 13, 2018

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What is the greatest integer that is a solution to the inequality $12 > \frac{x}{2} +1$?

$$\begin{array}{|rcll|} \hline 12 > \dfrac{x}{2} +1 \quad & | \quad -1 \\\\ 11 > \dfrac{x}{2} \quad & | \quad \cdot 2 \\\\ 22 > x \quad & | \quad \cdot 2 \\\\ x < 22 \\ \hline \end{array}$$

The greatest integer is 21

Apr 13, 2018