Answer
$n \geq -1$ or $n < -5$
Please see the graph.
Work Step by Step
$4+3n\geq1$
$4+3n-4\geq1-4$
$3n\geq -3$
$3n/3\geq -3/3$
$n\geq -1$
or
$-5n>25$
$-5n/-5>25/-5$
$n < -5$
Thus, either $n \geq -1$ or $n < -5$.
Since $n \geq -1$, we would use a solid circle (or line) at $n=-1$. Since $n < -5$, we would use a open circle (or dotted line) at $< -5$. These inequalities would be graphed on the same number line.