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The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point is a solution?

A(0, 2)
B(2, 0)
C(−2, 1)

The solutions to the inequality y gt; 3x + 2 are shaded on the graph. Which point is a solution? A. (0, 2) B. (2, 0) C. ( 2, 1) class=

Verified Answer :

MissPhiladelphia

"(2, 0)" is the one solution to the inequality y > −3x + 2 among the following choices given in the question that are shaded on the graph. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has actually come to your desired help.

Answer:

B. \((2,0)\)

Step-by-step explanation:

We have been given graph of an inequality. We are asked to find the point that is the solution of our given inequality.

We can see that boundary line of our given inequality is a dotted line, so the points that sits on boundary line will be not on the solution.

The solution of the given inequality are all points inside the shaded region.

Let us check our given choices one by one:

A. \((0,2)\)

We can see that point \((0,2)\) is on the boundary line, therefore, it is not a solution for our given inequality.

B. \((2,0)\)

We can see that point \((0,2)\) is inside the shaded region, therefore, it is a solution for our given inequality.

C. \((-2,1)\)

We can see that point \((-2,1)\) is outside the shaded region, therefore, it is not a solution for our given inequality.

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