Which point is in the solution set of the given system of inequalities?
x+y> 2 4x+y≥-1
a-(2, 0)
b-(0, 2)
c-(0, 3)
d-(0, –1)

C

Step-by-step explanation:

To determine which point is a solution substitute the coordinates into both inequalities and check validity

A (2, 0 )

2 + 0 = 2  ← not greater than 2

(4 × 2) + 0 = 8  > - 1

The point (2, 0) is not a solution as it does not satisfy the first inequality

B (0, 2 )

0 + 2 = 2 ← not greater than 2

0 + 2 = 2 > - 1

The point (0, 2) is not a solution as it does not satisfy the first inequality

C (0, 3 )

0 + 3 = 3 > 2

0 + 3 = 3 > - 1

The point (0, 3) satisfies both inequalities and is therefore a solution

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step-by-step explanation: