Question

Which inequality matches the graph?

Answer 1

A) -2x + 3y > 7
B) 2x – 3y < 7
C) -3x + 2y ≥ 7
D) 3x – 2y ≤ 7

Answer 2

@Firejay5 Please help, I'll give you a metal.

Answer 3

@hhelpplzzzz @TheSmartOne @talita @annon1123 Please help And I'll give a metal to whoever helps me answer!

Answer 4

@TheSmartOne @TheGh0st Please

Answer 5

Hi there :)

Answer 6

Im just so tired D-

Answer 7

OMG THANK YOU SO MUCH!!!!!!!!!!!!!!!!

Answer 8

TheSmartOne You made my day thank you SO MUCH

Answer 9

So do you know what the line will look like if it has \(\ge\) or \(\le\) compared to if the equation has < or > ?

Answer 10

Will the line be dotted or solid if the equation has \(\ge\) or \(\le\)?

Answer 11

Yes Im like astronomical in any subject but math. If it has a line under it it means for example "<" wih a line under it less than or equal to

Answer 12

It would be solid if it had a line under it

Answer 13

Correct!

Answer 14

So which 2 choices does that eliminate?

Answer 15

A & B? :D?

Answer 16

Remember in our graph we have a solid line.

Answer 17

So the graph DOES have a solid line?

Answer 18

Well the graph you attached it has a solid line. Doesn't it?

http://assets.openstudy.com/updates/attachments/54e6bfc1e4b0acb50ce86bde-einsteinpart2-1424408542126-cusersjoydesktoptiredasf.gif

So then we said that the line must have \(\ge\) or \(\le\) in it. So which choices do not have that, so we can eliminate them?

Answer 19

Because \[\le / \ge \approx Bracket (Or Solid Line)\]

Answer 20

So we know it cant be C or D.

Answer 21

Before we go any further, I would like to tell you that you need to be a math teacher when you get older. You have an amazing way of explain things :)

Answer 22

Why can't it be C or D?

The graph you gave has a solid line. And when you have \(\ge\) you will also have a solid line then.

Answer 23

Ok wait, Im sorry I keep having to scroll up. It would be C or D because they both hae closed brackets

Answer 24

Exactly :)

Answer 25

So we can eliminate the optionof A & B.

Answer 26

So now to find out which one is correct. C or D.

Answer 27

Yes, we can eliminate A & B
:)

Answer 28

Ok your gonna think Im dumb, but this is where I get confused :(. But I also haven't slet in 2 days studing I appriciat your help so much

Answer 29

You there?

Answer 30

Yes, I am here :)

Answer 31

Ty

Answer 32

\(\cancel{ A) -2x + 3y > 7}\)
\(\cancel{B) 2x - 3y < 7}\)

C) -3x + 2y \(\ge\) 7
D) 3x - 2y \(\le\) 7

Answer 33

So now to find out which one is correct, C or D.

Answer 34

So to do that, we choose a test point from our graph. Choose a point that is in the shaded region and we plug it into our equation. If the point works, then we have gotten the right equation. If the point doesn't work, We have gotten the wrong equation.

Answer 35

\[Y \rightarrow3 / X \rightarrow-2.5\]

Answer 36

So chose a point from the graph that is in the shaded region, and tell me the coordinates.

Answer 37

The x and y coordinates. like (x,y) . And this point should lie in the shaded region of this line :)

Answer 38

Here is the graph
http://assets.openstudy.com/updates/attachments/54e6bfc1e4b0acb50ce86bde-einsteinpart2-1424408542126-cusersjoydesktoptiredasf.gif

Answer 39

\[\left( -6,7 \right)\]

Answer 40

Yup that point will absolutely work! :D

Answer 41

=D!!

Answer 42

ok so that point is (-6,7) and that is in the form of (x,y)

Answer 43

So basically \(\sf x= -6\) and \(\sf y=7\)

Answer 44

Yup

Answer 45

C) -3x + 2y \(\ge\) 7
D) 3x - 2y \(\le\) 7

And so which equation do you want to chose? So then we plug in those numbers here :)

Answer 46

C =D

Answer 47

WAIT NO NONONON I MESSSED IUP IMENT 2'

Answer 48

So lets plug in the numbers into C

Answer 49

Sorry, i thought you meant C = D

But you actually put up a smiley face. haha =D

Answer 50

I was looking at c :o

Answer 51

Wait no I think its c =/

Answer 52

Yes, we will plug in the numbers into C.

\(\sf -3x + 2y \ge 7\)

and \(\sf x= -6\) and \(\sf y=7\)

Answer 53

So basically plug in the numbers :)

\(\sf -3x + 2y \ge 7\)
\(\sf x= -6\) and \(\sf y=7\)

\(\sf -3(\color{red}{-6}) + 2(\color{red}{7}) \ge 7\)

Answer 54

O.M.G. I cannot thank you enough you are literally the most patient the best teaching person I have EVER MET in my life you honestly taught me SO MUCH just now and im not just saying that

Answer 55

haha, now don't flatter me :)

Answer 56

Im serious if you ever need ANYTHING im here THANK YOU SO MUCH! :)))))

Answer 57

So lets solve this and see if 'C' is the correct answer choice. If after solving this, and it isn't correct, we can assume that 'D' would be the correct answer choice without having to work it out :)

\(\sf -3(\color{red}{-6}) + 2(\color{red}{7}) \ge 7\)

Answer 58

Ok so \[32 \le 7\]

Answer 59

Sorry I thought we where done for a sec XD

Answer 60

I got a metal o_O

Answer 61

So you did:

\(\sf -3(\color{red}{-6}) + 2(\color{red}{7}) \ge 7\)

\(\sf \color{red}{18} + \color{red}{14} \ge 7\)

\(\sf \color{red}{32} \ge 7\)

But then why did you flip the sign? we had \(\sf\ge\). You made it \(\sf\le\)

Answer 62

@EinsteinPart2 I gave you the medal :)

Answer 63

Oh thanks!!!

Answer 64

So is \(\large\sf 32\ge7\) correct?

Answer 65

And I thought youonly switch the sign when it is a negative number'

Answer 66

You can only switch the sign when you \(\bf\underline{DIVIDE}\) both sides by a \(\bf\underline {NEGATIVE}\) number.

Answer 67

Eg If it was
\[-6 \le 12\] It would turn into
\[1\ge2\]
However if it was positive it would stay the same
\[7\ge14\]
\[1\ge2\]

Answer 68

Exactly :)

Answer 69

Ohhh I see! Hey well than you for everthing! =)

Answer 70

It really means a lot, I'll talk to you soon ok? =)

Answer 71

Sure :)

Answer 72

So you got your answer as C, right? @EinsteinPart2

Answer 73

Yep!!!=D

Answer 74

@EinsteinPart2

Answer 75

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Answer 76

@EinsteinPart2 Do you need any extra help on your problem?