The correct graph for n ≤ -3 is seen in option B.
How to express a linear inequality on a number line.
The expression a linear inequality on a number line requires a series of steps such that the sets of all the real numbers expressed satisfies the given inequality.
From the given inequality;
5 ≥ 2n +11
The inequality sign greater than or equal to shows that the circle on the line draw in the graph will be solid and dotted.
Solve: 5 ≥ 2n +11
-11 + 5 ≥ 2n
-6 ≥ 2n
Divide both side by 2.
n ≤ -3
Thus, the correct graph for n ≤ -3 is seen in option B.