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Is (-2, -3) a solution of the graphed system of
inequalities?

Is (-2, -3) a solution of the graphed system of inequalities?-example-1
User Picardo
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1 Answer

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The point (-2, -3) is not a solution to the system of inequalities because it does not lie within both shaded areas.

The point (-2, -3) is not a solution to the system of inequalities. The blue shaded area represents the solutions to the first inequality, y >= -2x - 3, and the green shaded area represents the solutions to the second inequality, y <= x + 4. In order for a point to be a solution to the system of inequalities, it must lie within both shaded areas.

The point (-2, -3) lies below the blue shaded area, and therefore it is not a solution to the first inequality. Even though it lies within the green shaded area, it is not a solution to the system because it does not satisfy both inequalities.

Therefore, the answer is No.

User Deffiss
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