Question

Solve the given inequality and show the graph of the solution on number line: $5x-3\ge 3x-5$

Answer 1

Given, $5x-3\ge 3x-5$
$\Rightarrow 5x-3x\ge -5+3$
$\Rightarrow 2x\ge -2$

$\Rightarrow x\ge \frac{-2}{2}$

$\Rightarrow x\ge -1$
So, the solution set is $[-1,\infty )$

The graphical representation is


Here, $-1$ is included in the shaded graph.