Which of the following points lie in the solution set to the following system of inequalities?
y > −3x + 3
y > x + 2

a
(2, −5)

b
(−2, 5)

c
(2, 5)

d
(−2, −5)

Option c . (2, 5)

Step-by-step explanation:

we know that

If a ordered pair lie in the solution set of a system of inequalities, then the ordered pair must satisfy both inequalities of the system

we have

----> inequality A

----> inequality B

Verify each ordered pair

case a) (2,-5)

Verify inequality A

----> is not true

so

The point not satisfy inequality A

therefore

The point not lie in the solution set

case b) (-2,5)

Verify inequality A

----> is not true

so

The point not satisfy inequality A

therefore

The point not lie in the solution set

case c) (2,5)

Verify inequality A

----> is true

so

The point satisfy inequality A

Verify inequality B

---> is true

so

The point satisfy inequality B

therefore

The point lie in the solution set

case d) (-2,-5)

Verify inequality A

----> is not true

so

The point not satisfy inequality A

therefore

The point not lie in the solution set

ion

step-by-step explanation:

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