Which of the following points lie in the solution set to the following system of inequalities?

y

Question

Which of the following points lie in the solution set to the following system of inequalities?

y < -3x + 3
y < x + 2

A.  (1, -5)
B. (1, 5)
C. (5, 1)
D.(-1, 5)

Answer please :)

mathstudent55 · Answer

Test each point in both inequalities. A point that makes both inequalities true lies in the solution set of the system.

anonymous · Answer

Pick a point and plug its x and y value into the inequalities...If it makes both inequalities true then it lies in the solution set.

anonymous · Answer

For example...in A x is 1 and y is -5... so ...

anonymous · Answer

$$y<-3x+3$$ now put 1 in for x and -5 in for y $$-5<-3(1)+3?$$ $$-5<-3+3?$$ $$-5<0?$$ yep so it works for that inequality but it has to work for both... now you test ( -1,5) in the second inequality $$y<x+2$$ If it works in both then it lies in the solution set.

anonymous · Answer

You turn.

anonymous · Answer

y<x+2
-5<1+3
-5<4?
 Yes it works

anonymous · Answer

So answer is A

anonymous · Answer

Yeppers!

anonymous · Answer

Thank you so much for the help