Question

Solve:$5x-3\le 3x+1$ when $x$ is an real number.

Answer 1

$5x-3\le 3x+1$

$\Rightarrow 5x-3+3\le 3x+1+3$

$\Rightarrow 5x\le 3x+4$

$\Rightarrow 5x-3x\le 3x+4-3x$

$\Rightarrow 2x\le 4$

$\Rightarrow x\le 2$

When $x\in R,$ the solution set is $x\in (-\infty ,2]$