If the replacement set is the set of whole number solve, $x - \frac{3}{2} < \frac{3}{2} - x .$

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Solution

Given replacement set is whole numbers ,
Given $x - \frac{3}{2} < \frac{3}{2} - x$
$2 x < 2 \times \frac{3}{2}$
$x < \frac{3}{2}$
But whole numbers start with zero,
$x \in [0, \frac{3}{2})$

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