Which test point holds true for the inequality 2/3x-2y _> 1 where does the shaded area lie for this inequality?
the test point (1,6) (2,3) (3,2) (6,1) holds true for this inequality. the shaded area for the inequality lies (above or below) the boundary line.

2/3 x - 2y ≥ 1⇒ y≤ 1/3 x -1/2

(1,6) holds false for the inequality
(2,3) false
(3,2) false
(6,1) holds true for the inequality

The solution (shaded area) lies below the boundary line, which is y = 1/3 x -1/2

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

the answer is 18.

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