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)

Answer 1

any ideas on how to do this?

Answer 2

no

Answer 3

let me do an example

Answer 4

let's say (2,-5) lies in the solution set

if this was true, then x = 2 and y = -5 should work in both inequalities

let's find out

y > -3x + 3

-5 > -3(2) + 3 ... replace x with 2 and y with -5

-5 > -6 + 3

-5 > -3

Since this is false, this means that (2,-5) does NOT lie in the solution set

Answer 5

So which answer did you get?

Answer 6

{2, 5}