Answer
(a) $ 7\gt 0$
(b) $ -1 \gt -8$
(c) $12\gt -9$
(d) $-8\lt6$
Work Step by Step
Since $4\gt -3$, then;
(a) Adding $3$ to each side of the given inequality;
$$3+4\gt -3+3\Longrightarrow 7\gt 0$$
(b) Subtracting $5$ from each side of the given inequality;
$$4-5\gt -3-5\Longrightarrow -1 \gt -8$$
(c) Multiplying each side of the given inequality by $3$;
$$3\times4\gt -3\times3\Longrightarrow 12\gt -9$$
(d) Multiplying each side of the given inequality by $- 2$;
$$-2\times4\lt -2\times(-3)\Longrightarrow -8\lt6\\
\text{(The inequality symbol will change as a negative number was multiplied to both sides.)}$$
