Question

Which of the following points is a solution to the system of linear inequalities?

Answer 1

A.
(0, –6)
B.
(1, –9)
C.
(2, –11)
D.
(3, –15)

Answer 2

Do you know how to graph those lines? Pretend they are not inequalities and first graph them.

Answer 3

Are you able to do that part?

Answer 4

yes, i can do that.

Answer 5

Ok graph one line at a time. Now select a test point

Answer 6

I don't know or understand how to re-write the equations to graph them.

Answer 7

ok what you have is\[-2x+y <1\]

Answer 8

Replace the inequality with an equal sign. so:\[-2x+y=-1\]

Answer 9

now get that in slope intercept form.

Answer 10

Which would be y=2x-1

Answer 11

can you graph that one now?

Answer 12

How do you re-write it into slope intercept form? That's my question.

Answer 13

ok You understand what I did right? I replaced the inequality with an equal. Do you see that?

Answer 14

Yes, I mean once you have -2x+y=1

Answer 15

Ok just checking now...

Answer 16

You add 2x to both sides of the equal sign

Answer 17

(2x)-2x+y=-1+(2x)

Answer 18

when you simplify that you get y=-1+2x and if you rearrange the terms you get y=2x-1

Answer 19

Make sense?

Answer 20

Okay, I see.

Answer 21

Do you know what to do from here? Or you want me to continue?

Answer 22

I know how to graph them, and I now understand. If I need more help I'll let you know.
Thank you for your help. :)

Answer 23

No problem. Last thing is you can check the point on the graph to see if it satisfies both inequalities. There is a shortcut method to this, but I like to explain where it comes from. The shortcut method is to plug the proposed solutions (from the multiple choice answers) into the inequality and simplify. If you get 6>2 you know that proposed solution did not work. If you can check a point in both inequalities and it gives true statements for both then you have found your match. I hope this has helped. Good luck