Question

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

Answer 1

When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.

When the sign is < or >, the dot is not filled in and looks like this o

To find out which number line represents the solution set, simplify the inequality and isolate x

$-\frac{1}{2}x\geq4$    Multiply -2 on both sides to get rid of -1/2

$(-2)(-\frac{1}{2}x)\geq4(-2)$

x ≤ -8       (The sign flips when you multiply/divide a negative number on both sides of the inequality)

so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8