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QUESTION

Determine the values of $x$ satisfying $x-2&lt;1-x&lt;2x$.

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ANSWER

$\ds -2+x&lt;1-x&lt;2x\\ -2+x&lt;1-x\Rightarrow2x&lt;3,\ x&lt;\frac{3}{2}\\
1-x&lt;2x\Rightarrow3x&gt;1,\ x&gt;\frac{1}{3}$\\so the solution is
$\ds\frac{1}{3}&lt;x&lt;\frac{3}{2}$.




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