Question

Which number line represents the solution set for the inequality –1/2x ≥ 4?

Answer 1

we have

$-\frac{1}{2}x \geq 4$

Solve the inequality

Multiply by $-2$ both sides-----> remember change inequality sign

$x \leq -8$

the solution is the interval-----------> (-∞,-8]

using a graph tool

see the attached figure

the solution is the shaded area

Answer 2

-1/2x > = 4 ...multiply both sides by -2, change inequality sign
x < = 4 * -2
x < = -8

closed circle (because of the equal sign) on -8, shading to the left (because it is less then)