Question

Can somebody help me with this question?

Answer 1

To find solutions you have to simplify disjunctives first.

$

-9x+5\leq17\Longrightarrow x\leq-\frac{4}{3} \\

13x+25\leq-1\Longrightarrow x\leq-2 \\

$

Now write the simplified disjunctives as intervals

$

x\in\Big(-\infty,-\frac{4}{3}\Big] \\

x\in(-\infty,-2]

$

Since the solution is a disjunction $x\leq-\frac{4}{3}\vee x\leq-2$ we can rewrite as union of intervals and simplify the union to get solution.

$

\Big(-\infty,-\frac{4}{3}\Big]\cup(-\infty,-2]\Longrightarrow\boxed{(-\infty,-2]}

$

The answer is B.

Hope this helps.