Question

solve $\frac{1}{2}n + 3 < 5$. which graph shows the solutions?

Explanation:

Step1: Isolate the term with n

Subtract 3 from both sides of $\frac{1}{2}n + 3<5$.
$\frac{1}{2}n+3 - 3<5 - 3$
$\frac{1}{2}n<2$

Step2: Solve for n

Multiply both sides by 2.
$2\times\frac{1}{2}n<2\times2$
$n < 4$
On a number - line, this is represented by an open circle at 4 (since n is less than, not less than or equal to 4) and an arrow pointing to the left.

Answer:

The number - line with an open circle at 4 and an arrow pointing to the left. (The first option in the image with the arrow pointing left starting from an open - circle at 4)