Question

Find the solution set for $x+\frac{5}{2}<-\frac{5}{2}+5x$; where $xϵZ$

• A. x < 2
• B. x > 2
• C. x < -2.5
• D. x < -2

Answer 1

The correct option is B

x > 2

Given $x+\frac{5}{2}<-\frac{5}{2}+5x$
$-4x<-\frac{10}{2}$
$-4x<-5$
Multiplying by (-1) on both sides, we have

$4x>5$

$x>\frac{5}{4}$
$x>1\frac{1}{4}$
$x>2$ (Since x is an integer)