Question

Solve the following linear inequations and graph the solution set on a real number line.
$3(5x+3)\ge 2(9x–17),x\in W$

Answer 1

Find the solution for $x$

$3(5x+3)\ge 2(9x–17),x\in W$

$15x+9\ge 18x-34$

By taking the like terms to one side of equation, we get,

$18x-15x\le 34+9$

$3x\le 43$

$x\le \frac{43}{3}$

As per the condition given in the question,$x\in W$

Therefore,solution set $x\le \frac{43}{3}$ is
$x=\{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14\}$

It can be represented in number line as,