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Which of the following is a solution to this inequality?

y<2/3x+2

(0, 3)
(−3, 1)
(3, 5)
(1, 2)

User Mcmlxxxiii
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1 Answer

5 votes

Answer:

(d) (1, 2)

Explanation:

You want to know which of the given points satisfies the inequality.

Graph

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

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Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Which of the following is a solution to this inequality? y<2/3x+2 (0, 3) (−3, 1) (3, 5) (1, 2)-example-1
User Jul
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