Answer
(a) $ 6\lt 8$
(b) $ -2\lt 0$
(c) $9\lt 15$
(d) $-6\gt-10$
Work Step by Step
Since $ 3\lt 5$, then;
(a) Adding $3$ to each side of the given inequality;
$$3+3\lt 5+3\Longrightarrow 6\lt 8$$
(b) Subtracting $5$ from each side of the given inequality;
$$3-5\lt 5-5\Longrightarrow -2\lt 0$$
(c) Multiplying each side of the given inequality by $3$;
$$3\times3\lt 5\times3\Longrightarrow 9\lt 15$$
(d) Multiplying each side of the given inequality by $- 2$;
$$-2\times3\gt -2\times5\Longrightarrow -6\gt-10$$
(Note that the inequality symbol will change because a negative number was multiplied to both sides.)
