Question

which number line represents the solution set for the inequality -\frac{1}{2}x\geq4?

Explanation:

Step1: Solve the inequality

Multiply both sides of $-\frac{1}{2}x\geq4$ by -2. When multiplying an inequality by a negative number, the direction of the inequality sign changes. So we get $x\leq - 8$.

Answer:

The number - line with a closed - circle at - 8 and an arrow pointing to the left. (The second option from the top in the given image as it has a closed - circle at - 8 and the arrow goes to the left indicating all values less than or equal to - 8)