Answer
(a) $ \space 0\gt -2$
(b) $\space -8 \gt -10$
(c) $\space-9\gt -15$
(d) $\space6\lt10$
Work Step by Step
Since $-3\gt -5$, then;
(a) Adding $3$ to each side of the given inequality;
$$3-3\gt -5+3\Longrightarrow 0\gt -2$$
(b) Subtracting $5$ from each side of the given inequality;
$$-3-5\gt -5-5\Longrightarrow -8 \gt -10$$
(c) Multiplying each side of the given inequality by $3$;
$$3\times(-3)\gt -5\times3\Longrightarrow -9\gt -15$$
(d) Multiplying each side of the given inequality by - 2;
$$-2\times(-3)\lt (-5)\times(-2)\Longrightarrow 6\lt10\\
\text{(The inequality symbol will change since a negative number was multiplied to both sides.)}$$
