Question

Which ordered pairs are in the solution set of the system of linear inequalities?

y>= -1/2x
y< 1/2x+1

a. (5,-2), (3, 1), (-4, 2)
b. (5,-2), (3, -1), (4, -3)
c. (5,-2), (3, 1), (4,2)
d. (5,-2), (-3,1), (4,2)

Answer 1

Answer:

c.  (5,-2), (3, 1), (4,2).

Step-by-step explanation:

The solutions are in the dark red area, with some on the continuous blue line but none on the red dotted line.

Answer 2

The only option that has only solutions for the system is option C.

How to find solutions of a system of inequalities?

Each inequality has a region of solutions defined by the shaded areas, such that the double shaded area represents the region of points that are solutions for both inequalities at the same time.

So we just need to see from the options, which ones belong to the double shaded area.

We can see that the only option that has all the points belonging to the double shaded area is option C, with the points:

(5, - 2), (3, 1), (4, 2)

While in the other 3 options we can find at least one point that is not a solution for the system, these are:

• a) (-4, 2) is not a solution.
• b) (4, - 3) is not a solution.
• d) (-3, 1) is not a solution.

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970