Question

Find the solution set of $7x-3\ge -24$ and $-11x+10\ge -12$

Answer 1

$7x-3\ge -24$ & $-11x+10\ge -12$

$7x+21\ge 0$ $-11x+22\ge 0$

$7(x+3)\ge 0$ $22\ge 11x$

$x+3\ge 0$ $2\ge x$

$x\ge -3$ $x\le 2$.

$x\in [-3,2]$.