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