Answer:
(a) I, III, and IV
Step-by-step explanation:
We want to identify areas on a graph where the solutions to an inequality might be found.
Boundary line
The boundary line for the inequality y ≤ 2/3x -4 has a positive slope and a negative y-intercept. That means it must pass through quadrants I, III, and IV.
Solution set
Quadrant II is above the line, but the y ≤ () inequality tells you the shading is below the line, where y-values are less than those on the line. There can be no solutions in quadrant II.
Solutions are found in quadrants I, III, and IV.
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For reference, the second attachments shows the quadrant numbering.
