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