Question

Can somebody help me with this question?

Answer 1

To find solutions you have to simplify disjunctives first.

`</p><p>-9x+5\leq17\Longrightarrow x\leq-(4)/(3) \\</p><p>13x+25\leq-1\Longrightarrow x\leq-2 \\</p><p>`

Now write the simplified disjunctives as intervals

`</p><p>x\in\Big(-\infty,-(4)/(3)\Big] \\</p><p>x\in(-\infty,-2]</p><p>`

Since the solution is a disjunction
`x\leq-(4)/(3)\vee x\leq-2` we can rewrite as union of intervals and simplify the union to get solution.

`</p><p>\Big(-\infty,-(4)/(3)\Big]\cup(-\infty,-2]\Longrightarrow\boxed{(-\infty,-2]}</p><p>`

The answer is B.

Hope this helps.