Question

Which of the following is the inequality 2x + 4y < 8 when solved for y?
Answer

y < 8 - 2x

y > 8 -2x

y < 2 - 1/2 x

Y < 4 - 1/2x

Answer 1

Ok so you need to isolate Y

Answer 2

how do i do that?

Answer 3

\[2x + 4y < 8 \]

Answer 4

now you subtract -2x from both sides and you get:
\[4y < 8 - 2x\]

Answer 5

why -2x?

Answer 6

Well because the original equation had -2x first and you want to solve for Y not X so you move x to the other side

Answer 7

Now you divide 4 on both sides:
\[y < 2 -2x\]

Answer 8

you with me so far?

Answer 9

yea kindda, after you finish im kindda gonna sit here and understand it all lol

Answer 10

xD well basically you need to get Y alone so you take away the 4 anyways moving on...

Answer 11

@charlieberzak It all depends on which variable (either X or Y) you're solving for, to further expand on @JA1's explanation of why you're subtracting -2x

Answer 12

My bad you actually divide 4 on al problems like so:
4y<8−2x
/4 /4 /4
y < 2 - 1/2x

Answer 13

So now you get
\[y < 2 - 1/2x\]

Thanks @jhannybean :)

Answer 14

thx ja and jhanny :)

now its time to sit and stare

Answer 15

So now just sit there and make sense of it all xD

Answer 16

\[2x+4y<8\]\[-2x +2x+4y < 8-2x\]\[4y < 8-2x\]\[\frac{4y}{4}< \frac{8-2x}{4}\]\[y< \frac{8}{4}-\frac{2x}{4}\]\[y< 2- \frac{x}{2}\]

Answer 17

haha exactly

Answer 18

Good luck staring :)

Answer 19

Nice @Jhannybean

Answer 20

NO i just put your explanation all together :)

Answer 21

yep :)

Answer 22

yah but yours was organized xD

Answer 23

Pff.

Answer 24

I'm so dead right now I don't know how I pulled it off xD

Answer 25

lol

Answer 26

:) cause youre smart.