Solve for x: -3x + 7 ≤ 22.

Subtract $7$ from both sides: $-3x\le 15$. Divide both sides by $-3$ and reverse the inequality symbol because you are dividing by a negative number: $x\ge -5$, choice F. Test $x=0$: $7\le 22$ is true, and $0\ge-5$ is true. Choice G, $x\le-5$, has the right boundary but forgets to reverse the symbol; testing $x=0$ shows it fails. Choice H, $x\le 5$, makes a sign error on the boundary and also forgets to reverse. Choice J, $x\ge 5$, reverses the symbol but gets the boundary's sign wrong. Whenever you multiply or divide an inequality by a negative number, flip the direction.