Question

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)

Answer 1

c

Explanation:

omm it’s c

Answer 2

C

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