Question

Match each inequality with its graphed solution:
1) 4x – 7y < 5
2) 4x – 7y > 5
3) 4x – 7y < 5
4) 4x – 7y > 5

I will put the options to match them with in 4 diffrent reply things

Answer 1

A

Answer 2

B

Answer 3

c

Answer 4

D

Answer 5

Why answer 1 and 3 are the same...?
may be you forget something...

Answer 6

Just try (0,0) in the inequalities...then you can match them with graphs...

ok?

Answer 7

1 and 3 are diffrent look at the less than/greater than signs... and how do you do that?

Answer 8

sorry I looked at that wrong let me redo that

Answer 9

1) 4x – 7y < 5
3) 4x – 7y < 5 - it is supost to have the line under the simbol
4) 4x – 7y > 5 - same thing with this one

Answer 10

Those inequalities which have = are belong to graphs which have lines...
ok...?

Answer 11

that made no sence at all to me..sorry

Answer 12

Two graphs have purple dots and the other two have a purple line instead...got it ?

Answer 13

yeah

Answer 14

4x-7y>=5
4x-7y<=5
These two belong to graphs which have line...do i need to explain why?
the other two inequalities belong to graphs which have dots...

Answer 15

ok so I get that..so how do I tell which one with line it goes to?

Answer 16

Now if you put (0,0) in one of them for example in this one...
4x-7y<5 then you have 0<5

you can see it's right and it means this inequality belong to graph which include (0,0).
OK?

Answer 17

I dont understand that...Im realy sorry

Answer 18

No it's ok..

Answer 19

if you look at your graphs you can see two of them consist the point (0,0) in their area which is colored...ok?

Answer 20

right i get that

Answer 21

Now if you put a point in the inequality you have two answers...

1.you get a right inequality like 0<5..then it means the point should be in the area of graph.

2.you get a wrong inequality like 0>5...then the point should be out of the area of graph...

OK?

Answer 22

Put (0,0) in the inequalities and see what happens...

Answer 23

ok let me try that

Answer 24

If you have any question...don't hesitate...i'll explain

Answer 25

this is what I got
1) 0<5
2) 0>5
3) 0<=5
4) 0>=5
Is this right?

Answer 26

@Mertsj

Answer 27

right...now you can see 0<5 and 0<=5 are correct and 0>5 and 0>=5 are not...

so first two are belong to graphs which have (0,0) in their area (colored area)

and the other two belong to graphs which haven't (0,0) in their area (colored area).

Answer 28

if you rewrite one of inequalities like this 4x - 7y =5 and draw it, then you get the boundary line in graphs...

if you want to know which inequality goes to which graph you can choose a point that is in the area of one graph and it's not in the area of other one (here i choose (0,0))...

then if the answer is correct it means the point should be in area of that inequality...

It's that easy...

Answer 29

Sorry for not explaining good enough...
i tried to help you to understand the matter...