First, sketch the line. Its y intercept is 2 and from there it goes down 2 and over 3 to hit (3, 0). Any point on this line works because it was ≤ and not just <.
Then take a point that is clearly below this line. (I tried (0, 0).) Plug those coordinates into the original inequality. if it's true then the region below the line works. If not, it's above.
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Verified answer
First, sketch the line. Its y intercept is 2 and from there it goes down 2 and over 3 to hit (3, 0). Any point on this line works because it was ≤ and not just <.
Then take a point that is clearly below this line. (I tried (0, 0).) Plug those coordinates into the original inequality. if it's true then the region below the line works. If not, it's above.
0 ≤ -2/3 • 0 + 2
0 ≤ 0 + 2 true
So choose answer D.