Question

Solve the system of inequalities: $x-5>0,\frac{2x-4}{x+2}<2$

• A. $x<5$
• B. $x>5$
• C. $x<-2$
• D. $x>2$

Answer 1

The correct option is B $x>5$

Consider the second inequality
$\frac{2x-4}{x+2}<2$
$2x-4<2(x+2)$
$2x-4<2x+4$
$0<6$
The above inequality cannot be solved for $x$
Consider the first inequality
$x-5>0$
$x>5$
Hence $xϵ(5,\infty )$
Hence answer is B