Determine the relationship between the point (1, _5) and the given system of inequalities.
y _ 3x + 2
y > _2x _ 3
Explain your answer both algebraically and graphically.

Sample Answer: Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

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MrRoyal MrRoyal · Answer 2 · 2022-06-01T17:19:42+02:00

The point (1, -5) is not a solution to the graph of y ≥ 2x - 3 and y > -3x + 2

How to determine the relationship?

The inequalities are given as:

y ≥ 2x - 3

y > -3x + 2

The point is given as:

(x,y) = (1, -5)

From the graph of the inequalities (see attachment), the point (1, -5) is outside the graph of y ≥ 2x - 3 and y > -3x + 2

Hence, the point (1, -5) is not a solution to the graph of y ≥ 2x - 3 and y > -3x + 2

Determine the relationship between the point (1, _5) and the given system of inequalities. y _ 3x + 2 y > _2x _ 3 Explain your answer both algebraically and graphically.

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How to determine the relationship?

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Determine the relationship between the point (1, _5) and the given system of inequalities.
y _ 3x + 2
y > _2x _ 3
Explain your answer both algebraically and graphically.