Answer
(a) $ 5\gt 4$
(b) $ -3 \gt -4$
(c) $6\gt 3$
(d) $ -4\lt-2$
Work Step by Step
Since $2\gt1$, then;
(a) Adding $3$ to each side of the given inequality;
$$3+2\gt1+3\Longrightarrow 5\gt 4$$
(b) Subtracting $5$ from each side of the given inequality;
$$3-5\gt1-5\Longrightarrow -3 \gt -4$$
(c) Multiplying each side of the given inequality by $3$;
$$3\times2\gt1\times3\Longrightarrow 6\gt 3$$
(d) Multiplying each side of the given inequality by $- 2$;
$$-2\times2\lt -2\times1\Longrightarrow -4\lt-2$$
(Note that the inequality symbol will change because a negative number was multiplied to both sides.)
