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