Question

The solution set of the inequality $2(4x-1)\le 3(x+4)$ is

• A. $x>\frac{14}{5}$
• B. $x<7$
• C. $x\le \frac{14}{5}$
• D. $x\ge 7.5$

Answer 1

The correct option is C $x\le \frac{14}{5}$

Simplifying we get
$8x-2\le 3x+12$
$5x\le 14$
$x\le \frac{14}{5}$
Hence
$xϵ(-\infty ,\frac{14}{5}]$