Answer
$a\lt-7 $ or $a\gt 15$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 5a\lt -35$ or $a-14 \gt 1$
Solve the first inequality.
$\Rightarrow 5a\lt -35$
Divide each side by $5$.
$\Rightarrow \frac{5a}{5}\lt \frac{-35}{5}$
Simplify.
$\Rightarrow a\lt -7$
Solve the second inequality.
$\Rightarrow a-14 \gt 1$
Add $14$ to each side.
$\Rightarrow a-14 +14\gt 1+14$
Simplify.
$\Rightarrow a\gt 15$
Hence, the solution is $a\lt-7 $ or $a\gt 15$.
