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)

Answer 1

The best way to do this is to take each point, one at a time, and plug the "x" and "y" values into the inequalities and see if they work. Start with the first one. Are bot the following true?

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

Answer 2

yes?

Answer 3

Correct! But you don't seem so sure with that question mark. I'll expand each.

(-5) < -3(1) + 3 = -3 + 3 = 0 -> -5 < 0 is true

(-5) < (1) + 2 = 3 -> -5 < 3 is true

So this point lies in the solution set. If you go through the others, you will find that none of the others work, just this one point.

Answer 4

All good now, @Melxo52 ?

Answer 5

yeah thanks

Answer 6

uw!