Question

which graph represents the solution set for the inequality \\( \frac { 1 } { 2 } x \leq 18 \\)?

Explanation:

Step1: Solve the inequality

Multiply both sides of $\frac{1}{2}x\leq18$ by $2$ to isolate $x$.
$$\frac{1}{2}x\times2\leq18\times2$$
$$x\leq36$$

Step2: Analyze the number - line representation

For the inequality $x\leq36$, the number - line should have a closed circle at $36$ (because the inequality includes equality, i.e., $x$ can be equal to $36$) and the arrow should point to the left (towards the smaller numbers).

Answer:

The second option (the number - line with a closed circle at 36 and an arrow pointing to the left) is the correct graph.