Question

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)
@texaschic101

Answer 1

plug your points into both inequalities and see which comes out true. But remember, the points have to satisfy both inequalities to be correct.

Let me do the first points..
(1,-5)

now sub that into the inequalities..
y < -3x + 3
-5 < -3(1) + 3
-5 < -3 + 3
-5 < 0 (correct)
now check the other inequality
y < x + 2
-5 < 1 + 2
-5 < 3 (correct)

well...I didn't plan on giving you the answer...but it happens to be the first one. (1,-5) satisfies both inequalities, so it is in the solution.

any questions ?

Answer 2

When i was doing it i landed on 2,2

Answer 3

ohh i was supposed to do them separate?

Answer 4

can you help with 2 more that im having trouble with?