a)

$4x+5>-3|-5$

$4x>-3-5$

$4x>-8|:4$

$x>-2$

$x\in \left(-2,\infty \right)$

b)

$7x-2\le -2x+7|+2x+2$

$7x+2x\le 7+2$

$9x\le 9|:9$

$x\le 1$

$x\in \left(-\infty ,1\right]$