Answer
$\text{(a)}\quad$ $7\gt 0$
$\text{(b)}\quad$ $-1\gt -8$
$\text{(ac}\quad$ $ 12\gt -9$
$\text{(d)}\quad$ $-8\lt 6$.
Work Step by Step
The given inequality is
$\Rightarrow 4\gt -3$
(a) Add $3$ to each side.
$\Rightarrow 4+3\gt -3+3$
Simplify.
$\Rightarrow 7\gt 0$.
(b) Subtract $5$ from each side.
$\Rightarrow 4-5\gt -3-5$
Simplify.
$\Rightarrow -1\gt -8$.
(c) Multiply each side by $3$.
$\Rightarrow 3\cdot 4\gt 3\cdot (-3)$
Simplify.
$\Rightarrow 12\gt -9$.
(d) Multiply each side by $-2$ and change the direction of the inequality.
$\Rightarrow -2\cdot 4\lt -2\cdot (-3)$
Simplify.
$\Rightarrow -8\lt 6$.
