Which ordered pairs are solutions to the system of inequalities? More than one answer
y ≥ x + 2

y > -5/2x - 3.

A. (0,0)
B. (-2,2)
C. (0,2)
D. (-1,6)

C, D

Step-by-step explanation:

We can solve this graphically and analytically.

Graphically, looking at the attached image below, if we graph the two inequalities and plot the points, you can find the points which are solutions by finding the points in the overlapping area.

This obviously excludes A as it only appears in

C is included as y includes the point on the line.

D is obviously a solution.

B is however not a solution because is lies on the line , which the inequality excludes.

Analytically, if we can find one of the two inequalities where it is not a solution, it is not a solution of the system.

A: (0, 0)

A is not a solution

B: (-2, 2)

B is not a solution

C: (0, 2)

C is a solution

D:

D is a solution

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!