- 2/3x (greater than or equal to sign) 8
Throughout this answer I assume you mean -(2/3)x >= 8.
To solve this we first multiply each side by -1 and change the direction of the inequality sign:
(2/3)x <= -8
We then multiply each side by (3/2):
(3/2)(2/3)x <= -8(3/2) ==> x <= -(4*3) ==> x <= -12.
This is the final answer. If you were to show the correct interval on the x-y plane (a graph), you would draw a vertical line through x = -12 and shade the area to the left of the line.
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