Question

Which point lies in the solution set for the following system of inequalities?
y < x + 4
y < -2x + 2

(2, 3)

(0, -5)

(0, 5)

(1, 0)

Answer 1

To solve for this, substitute each option into the equations. Whichever one makes both equations true is you answer.

Here's what I mean. I'll show you the first:

(2, 3)
x is 2
y is 3

First equation:
y < x + 4
3 < 2 + 4
3 < 6
^True.
Now lets check if this coordinate works for the other equation:
y < -2x + 2
3 < -2(2) + 2
3 < -4 + 2
3 < -2
^False.

So you can cross out option one.

Answer 2

(1, 0)

Answer 3

Not quite. The first equation is alright. But if we substitute (1, 0) into the second equation, we get 0 < 0, which isn't true. Try again (:

Answer 4

is it (2,3)

Answer 5

No. (2, 3) is the one I showed the work to up there ^^^. Its wasn't true because (2, 3) wouldn't make both equations true.

Answer 6

(0, 5)

Answer 7

You're just guessing. :/
Do you understand what it is I'm doing, and how I'm getting at my answer? If you're not going to try and learn, I'm not going to try and help.

Answer 8

I don't know the answer

Answer 9

I can't give you the answer. That's why I'm trying to show you HOW you can get it. Do you understand the steps I followed to check (2, 3).

Answer 10

yes

Answer 11

Good. Now follow those steps, and check the next given choice, (0, -5)
0 is x
-5 is y

I'll start you off with the equations:

1) y < x + 4
-5 < 0 + 4
Solve. is it true?

2) y < -2x + 2
-5 < -2(0) + 2
Solve. is it true?

Tell me what you get.

Answer 12

@ivandelgado please stop this behaviour of reading out the 4 options .We do not appreciate this .Please come here to learn not get answers .

@Callisto I hope you can understand