Question

A system of linear inequalities is shown below:

x + 2y < -5
x - y > 0

Describe the steps to graph the solution set to the system of inequalities.

Answer 1

first, you would get the y by itself by moving the x's to the other side of the equation like so
2y < -x - 5
-y > -x + 0(you don't need this zero anymore)

Answer 2

I understand 2y < -x - 5, but how did you get -y > -x + 0?

Answer 3

i moved the x to the other side of both equations

Answer 4

Wouldn't it be y < -x/2 - 5/2

Answer 5

well, yes, but i didnt get there yet, and that isn't completely true

Answer 6

im stupid nvm

Answer 7

Lol alright, sorry, I'm trying to get some work done, yet I dont completely understand it. @.@

Answer 8

the other one would be y > x, because the - cancels out the other -

Answer 9

and you are done, you just graph them now

Answer 10

Do I now do the second inequality?

Answer 11

Nevermind

Answer 12

How would I graph x - y > 0?

Answer 13

you move the x over to make it -y > -x (+0)

Answer 14

you don't need the zero anymore

Answer 15

So -y > -x?

Answer 16

yup

Answer 17

then you divide the negative out of the y

Answer 18

Uhh wait, wouldn't it be x > y?

Answer 19

there you go

Answer 20

wait im confused now

Answer 21

Oh right because the sign switches.

Answer 22

you are right, so flip the sign on the other one too

Answer 23

So y < x?

Answer 24

yes

Answer 25

Thank you