Question

Which of the following inequalities matches the graph?

-6x + y < 3

6x + y < 3

6x - y < -3

The correct inequality is not listed

Answer 1

help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

First do an analysis for the ecuation and then determine in the graph the right answer.

Answer 3

thats not really helping me @Owlcoffee

Answer 4

cant do that if im lost on the problem

Answer 5

okay, okay, let's do this slow:
First) look for roots on the line, meaning that you have to look where the line intersects the x-axis
second) look for the Y-intersections.

Answer 6

does it intersect a x-1? @Owlcoffee

Answer 7

and the y intersect would be 2?

Answer 8

Do this, take the three ecuations and evaluate them:
1) \[-6x+y<3\]
2) \[6x+y=3\]
3)\[6x-y=-3\]

All I did was making them equal to cero, so we can create a linear ecuation to start looking more detailed in them.

Answer 9

cero?

Answer 10

ok u basically just rewrote the answers right?

Answer 11

Well yeah, pass the x term to the other side.

Answer 12

what do u mean?

Answer 13

did u mean to type in zero?

Answer 14

Like this:
for example, the first one:
y=6x+3

Answer 15

lol thank god someone that gives examples!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 16

ohhhh ok do i always do that when im trying to solve for y?

Answer 17

Yes, are you familairized with the ecuation of the line?

Answer 18

somewhat im justy really rusty

Answer 19

I'll oil you up a little:
the ecuation, the ordinary one is:
\[y=mx+b\]
Where the x term is the slope and the constant, the y-intersection.

Answer 20

ok yeah i remember that

Answer 21

good, now.
Look at the third ecuation, we end up having a negative x term, and in the graph it's positive.
So we can say that the third ecuation is not the answer.

Answer 22

yeah cause the graph is increasing , right?

Answer 23

Good! now analyze the 1st and the 2nd

Answer 24

the first and second question?

Answer 25

Ecuations hehe.

Answer 26

Ecuations ?

Answer 27

-6x + y < 3

6x + y < 3

6x - y < -3

wich we changed to

-6x + y = 3

6x + y = 3

6x - y = -3

Answer 28

ok

Answer 29

do u always replace it with an = sign to make it easier?

Answer 30

yes, in these kind of problem, you use knowledge you already had to answer it.

Answer 31

yeah ok so wats next

Answer 32

@Owlcoffee

Answer 33

Let's analyze the first ecuation when we solve for y.
y=6x+3

Answer 34

-6x + y = 3 why did u change it to this first?

Answer 35

@Owlcoffee

Answer 36

We are looking on each ecuation indepently so we can deduce if they belong to the graph or not.

Answer 37

ok ok

Answer 38

y=6x+3
-3 -3
@Owlcoffee

Answer 39

y=3x @Owlcoffee ?

Answer 40

If you wanted to simplify it, it would look like this:
y=3x+1
And yes, the first ecuation is the correct answer.

Answer 41

why plus the 1? for rise over run? @Owlcoffee

Answer 42

@Owlcoffee u said the first one isnt the answer since its a negative??????????

Answer 43

The third one was not correct, since it has a negative x term.
y=6x+6, I divided the whole ecuation by 3 to reduce the numbers.

I analyzed what happened when y=0 and solved for x.
then analyzed for when x=0 and solved for y.
and when I graphed that i got a graph equal to the one you put.

Answer 44

alright u lost me by just giving me the answer so whats the answer for this problem then you probably could help with my next post cuz all these comments u lost me

Answer 45

@Owlcoffee

Answer 46

Sure, i'll help you :)

Answer 47

so the answer for this problem was a? @Owlcoffee

Answer 48

yes, it was