Question

Solve the following linear inequations and graph the solution set on a real number line.
$2(3x–5)>5(13–2x),x\in W$.

Answer 1

Step: Finding solution set of $x$
Given: $2(3x–5)>5(13–2x),x\in W$
$6x-10>65=10x$
By taking the like terms to one side of equation,we get,

$6x+10x>65+10$
$16x>75$
$x>\frac{75}{16}$
$x>4\frac{11}{16}$
As per the condition given in the equation,$x\in W$
Therefore, the solution set $x>4\frac{11}{16}$ is
$x=\{5,6,7,8,9,10,11,12,...\}$
Set can be represented in number line as,