42.9k views
0 votes
Which of the following points lie in the solution set to the following system of inequalities?

y < −3x + 3
y < x + 2
(1, −5)
(1, 5)
(5, 1)
(−1, 5)

User Kacase
by
8.3k points

2 Answers

4 votes
(1,-5) would be the answer. I used a graphing calculator to solve this. I plugged in the equation and looked at the intersection of the 2 graphs. Hope this helps.
User Aaron Bandelli
by
8.0k points
3 votes

Answer with Step-by-step explanation:

We have to find the points which lie in the solution set of the following system of inequalities:

y < −3x + 3

y < x + 2

(1, −5)

when x=1

y < −3x + 3 ⇒ y<0

y < x + 2⇒ y<3

and y= -5 satisfies the above inequalities

So, it lies in the solution set

(1, 5)

when x=1

y < −3x + 3 ⇒ y<0

y < x + 2⇒ y<3

and y= 5 does not satisfy the above inequalities

So, it does not lie in the solution set

(5, 1)

when x=5

y < −3x + 3 ⇒ y< -12

y < x + 2⇒ y<7

and y= 1 does not satisfy the above inequalities

So, it does not lie in the solution set

(−1, 5)

when x= -1

y < −3x + 3 ⇒ y<6

y < x + 2⇒ y<1

and y= 5 does not satisfy the above inequalities

So, it does not lie in the solution set

Hence, Correct answer is:

(1,-5)

User Zudokod
by
8.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories