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Which point would be a solution to the system of linear inequalities shown below?

y
y>-2/3x - 7

User GGEv
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1 Answer

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Final answer:

Any point above the line (y > -\frac{2}{3}x - 7) would be a solution to the system of linear inequalities. For instance, the point ((0, 0)) satisfies the inequality, as it lies above the line.

Step-by-step explanation:

The given inequality is y > -\frac{2}{3}x - 7. To find a point that satisfies this inequality, we need to choose a point in the coordinate plane and check if it satisfies the inequality. Let's choose the origin, (0,0), and substitute the values into the inequality: 0 > -\frac{2}{3}(0) - 7. Simplifying, we get 0 > -7, which is true. Therefore, the point (0,0) is a solution to the system of linear inequalities.

User Keywind
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