Question

Determine which point is the solution to the given system of inequalities (y≥2x+4 and x<4-y).

Select all that apply.

A (0,0)
B (0,-4)
C (-2,0)
D (-2,6)
E (-4,2)
F (2,-4)

Answer 1

• (-2,0)
• (-4,2)

Graph attached

Answer 2

• C (-2,0), E (-4,2)

Explanation:

Given system:

• y ≥ 2x + 4 and
• x < 4 - y

Plot the system and then verify the given points:

• A (0,0)
• B (0,-4)
• C (-2,0)
• D (-2,6)
• E (-4,2)
• F (2,-4)

Refer to attached

The points within the intersected region are C and E