Question

The boundary lines for the system of inequalities is given in the graph.

y ≥ 2x − 3
y ≤ −x + 2


Which region represents the solution to the system of inequalities?

A)
region A


B)
region B


C)
region C


D)
region D

Answer 1

Answer:

C)

region C

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

$\displaystyle y ≤ -x + 2$

0 ≤ 2 ☑ [We shade the portion of the graph that CONTAIN THE ORIGIN, which is the bottom portion.]

$\displaystyle y ≥ 2x - 3$

0 ≥ −3 ☑ [We shade the portion of the graph that CONTAINS THE ORIGIN, which is the left side.]

So, now that we got that all cleared up, we can tell that both graphs share a region where the ORIGIN IS VISIBLE. Therefore region C matches the above inequalities.

I am joyous to assist you anytime.

Answer 2

Answer:

C.

Step-by-step explanation:

on edg 2020 :)