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 1

You just plug in the points

you have choices of coordinates (x,y) you plug the into the equations for x and y...and see if it works out

Answer 2

right. thanks

Answer 3

how would i be able to tell?

Answer 4

so we'll take for example...the first answer choice (1,5) this is (x,y)

you have 2 equations

y < -3x + 3
y < x + 2

plug them in

5 < -3(1) + 3
5 < (1) + 2

so

5 < 0
5 < 3

is 5 less than 0? AND is 5 less than 3? No in both cases...so this is NO a solution

Answer 5

NOT*