Answer
$\text{(a)}\quad$ $0\gt -2$.
$\text{(b)}\quad$ $-8\gt -10$.
$\text{(c)}\quad$ $-9\gt -15$.
($\text{d)}\quad$ $6\lt 10$.
Work Step by Step
The given inequality is
$\Rightarrow -3\gt -5$
(a) Add $3$ to each side.
$\Rightarrow -3+3\gt -5+3$
Simplify.
$\Rightarrow 0\gt -2$.
(b) Subtract $5$ from each side.
$\Rightarrow -3-5\gt -5-5$
Simplify.
$\Rightarrow -8\gt -10$.
(c) Multiply each side by $3$.
$\Rightarrow 3\cdot (-3)\gt 3\cdot (-5)$
Simplify.
$\Rightarrow -9\gt -15$.
(d) Multiply each side by $-2$ and change the direction of the inequality.
$\Rightarrow -2\cdot (-3)\lt -2\cdot (-5)$
Simplify.
$\Rightarrow 6\lt 10$.
