Question

Choose the point which is a solution to the system of inequalities:

y ≤ –2x + 3
y < x – 4

Choices:

A.(4, –6)
B.(4, 6)
C.(–4, 6)
D.(–4, –6)

Answer 1

For each possible answer, plug in x and y and see if both equations are true.

Answer 2

B

Answer 3

There's a nicer way to do it on graphs, but in an exam Smooth's method would do fine.

Answer 4

So for A: y=-6, x=4
plugging in and checking:
-6 <= -2*(4)+3
-6<4-4
That gives
-6 <= -5
=6<0

Answer 5

I'm getting A as the solution.
B gives:
6 <= -5

Answer 6

so it's A right?

Answer 7

Yes.

Answer 8

ok thank you