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Determine whether the points (1,-1)and (0,3)are solutions to 3x-2y>=5

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Final answer:

The point (1,-1) is a solution to the inequality 3x-2y>=5, but the point (0,3) is not.

Step-by-step explanation:

To determine whether the points (1,-1) and (0,3) are solutions to the inequality 3x-2y>=5, we substitute the x and y values into the inequality and check if it is true. Let's start with the first point (1,-1):

3(1) - 2(-1) >= 5

3 + 2 >= 5

5 >= 5

The inequality is true for the point (1,-1). Now let's check the second point (0,3):

3(0) - 2(3) >= 5

0 - 6 >= 5

-6 >= 5

The inequality is not true for the point (0,3). Therefore, (1,-1) is a solution to the inequality, but (0,3) is not.

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