Question

Which is the graph of the inequality?
y > 2x + 3

Answer 1

i have to attach the graphs, one sec

Answer 2

those are all the graphs

Answer 3

Well there are two answers you can eliminate right off the bat because you know your slope.

Answer 4

Which one's are those? @jagatuba

Answer 5

When you have equality = its just the line, no shading

when you have less/greater or equal to , ≤, ≥ its the line with shading

when you have less/greater than inequality <, > its a dotted line and shading
(the boundary isn't included)

Answer 6

And you know that y is greater than.

Answer 7

I believe you have that backwards dotted line is < or > isn't it?

Answer 8

Never mind. Man I need to go to bed. I can't even read anymore huh @Spiffy2wice ?

Answer 9

I better get off here before I start talking about pirates and unicorns.

Answer 10

Lmao, Maybe you do need your rest @jagatuba this was already confusing and you may or may not have made it worse, but you were a great help for the most part lol

Answer 11

Laughing, so hard.

Answer 12

to determine which side of the boundary is included you could test a point

say test the origin (0,0), if x=0, y=0 does this satisfy your inequality?
if you get a true statement then that point is included and you can shade that side of the boundary,
if you get a false statement then its the other side you need to shade

Answer 13

there are no unicorns in the remainder unless you forget to add the pirates in the first step

Answer 14

I was good for a while but I'm draining now. I'm usually in bed by now. Good luck wight eh rest o your homework. You are getting it. And there are plenty of people on to help you out. Night.

Answer 15

ROFL @UnkleRhaukus

Answer 16

XD

Answer 17

you guys sure have made math fun. and go to bed xD goodnight @jagatuba

Answer 18

still never got an answer to my question though :p

Answer 19

did you test a point?

Answer 20

i dont know how,

Answer 21

C?

Answer 22

don't guess at the options , you'll have to work it out

Answer 23

i'm unsure of what to do?

Answer 24

can you understand any of either of my first or second post?

Answer 25

i understood most of the first, and very little of the second

Answer 26

ok well from the first one,

can you tell what type of line your graph should have?

Answer 27

yes, a dotted line, which eliminates two of the choices

Answer 28

good

Answer 29

so now you just need to determine which side to shade

Answer 30

How will i do that?

Answer 31

any point in the shaded section should satisfy the inequality

choose some point (x,y)

and plug the coordinates of that point into your formula

y > 2x + 3

Answer 32

so for c i could plug (3,-3)? how do i plug that point into y > 2x + 3?

Answer 33

ok (3,-3) fine choice,

now just substitute
3 for x,
and -3 for y

y > 2x + 3

( ) > 2( ) + 3

Answer 34

-3 > 2(3) +3?

Answer 35

yes that is right,

can you now simplify the right hand side

Answer 36

-3 > 9?

Answer 37

yep ,

now

is this inequality a true?

is negative three really greater than nine?

Answer 38

No, it is not. so i'd try another one right?

Answer 39

well now you know that that point , (3, -3) does not satisfy the inequality,

so on the the graph that point cannot be shaded,

this means that the side of the line that that point is on is not shaded at all,

so the other side must be shaded

Answer 40

ohhh

Answer 41

thanks so much!

Answer 42

YAY FOR US @Spiffy2wise and @unklerhaukus! We make math fun! :D