Question

Find the smallest value of x for which $5-2x<5\frac{1}{2}-\frac{5}{3}x$ , where x is an integer.

Answer 1

$5-2x<\frac{11}{2}-\frac{5x}{3}$

$30-12x<33-10x$

$-3<2x$

$x>\frac{-3}{2}$

$x>-1.5$

$x\epsilon Integers,x\ge -1$

$leastvalueofx=-1$