Question

If the replacement set is the set of whole numbers, solve:

${\displaystyle x -\frac{3}{2}<\frac{3}{2}-x}$

Answer 1

${\displaystyle x -\frac{3}{2}<\frac{3}{2}-x}$

${\displaystyle x+x<\frac{3}{2}+ \frac{3}{2}}$

2x < 3

${\displaystyle x<\frac{3}{2}}$

Since, the replacement set = W  ...(Set of whole numbers)

∴ Solution set = {0, 1}