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

y -3x + 3
y x + 2

(2, -5)
(-2, 5)
(2, 5)
(-2, -5)

Question

Which of the following points lie in the solution set to the following system of inequalities?

y > -3x + 3
y > x + 2

 (2, -5)
 (-2, 5)
 (2, 5)
 (-2, -5)

sleepyjess · Answer

Hey there! I saw you posted your question in math chat. What do you think should be done?

anonymous · Answer

graph the equations but im not sure how to do that

sleepyjess · Answer

You could graph the equations, or you could just plug in the answer choices and see which one it true :)

anonymous · Answer

true but how would i do that?

sleepyjess · Answer

Lets do the first option together k?

anonymous · Answer

ok

sleepyjess · Answer

The x-coordinate is 2 and the y-coordinate is -5. Now just plug those in for x and y.
-5 > -3(2) + 3
-5 > (2) + 2

anonymous · Answer

ok

anonymous · Answer

but how would i know which is the correct answer

sleepyjess · Answer

Just plug in the values and solve, the see which option is true for both equations

anonymous · Answer

so would you agree its C? @sleepyjess

sleepyjess · Answer

What do you end up with for c?

anonymous · Answer

-3*2+3
-3+2     both are smaller than 5 aka y

anonymous · Answer

@sleepyjess

sleepyjess · Answer

Yep :)

anonymous · Answer

@sleepyjess i have a few more if you are up to it