Verified Answer :

-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

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