Question

Which of the following inequalities matches the graph?

Answer 1

3x - 2y >/= 4

3x - 4y </= 2

3x - 2y </= 4

The correct inequality is not listed.

Answer 2

@Gabylovesyou did you try this?

Answer 3

well idk how to :p and hi!! lol

Answer 4

could you plot an equation like
\[3x+2y=6\]

Answer 5

please explain how to :)

Answer 6

OK, let's work

Answer 7

ok

Answer 8

@gaby we'll look at the plot, and then we'll write the equation

Answer 9

ok

Answer 10

First step is to find the points where the plot cuts the x and y axis.
Could you tell me the two points?

Answer 11

@Gabylovesyou ?

Answer 12

mmmmm 0,-2 and 0,1??

Answer 13

0, -2 is the point where it cuts the y-axis
The point on x- axis is not clear, I think it's half but I'm not sure.
Let's use this point to shortlist the options,
ignore the inequalities and check which options satisfy the point 0,-2
put x=0 and check if y=-2, if it is then that option gets into our short list.

Answer 14

for the first one it would be y </= -2

Answer 15

ignore the inequality for now
so it's y=-2, shortlisted !

Answer 16

ok..

Answer 17

check the other options

Answer 18

the second is y = -1/2

Answer 19

so it's not in the list :)

Answer 20

the third one is y = -2

Answer 21

so it's in the list.
Now put y=0 and see what do you get for x?

Answer 22

for the third one i get x = 4/3

Answer 23

the first one is x = 4/3

Answer 24

now look in the plot does it look like 4/3 or 1.3333

Answer 25

1.3333 ??

Answer 26

4/3=1.3333
in the plot where the graph cuts the x -axis, could it be (1.333, 0) ?

Answer 27

there is such thing?? lol if there is then yes if not then no

Answer 28

if you look carefully, you'd see that the distance from 1, 0 to the point where the line cuts the x-axis is half of the distance from the point to 2

Answer 29

* (2, 0)

Answer 30

yesss

Answer 31

so we have got the equation of the line, ignore the inequalities
\[3x-2y=4\]

Answer 32

ok.. what do i do?

Answer 33

did you understand till here?

Answer 34

yes

Answer 35

@ash2326

Answer 36

Now we need to find the equality corresponding to the shaded area

Answer 37

how

Answer 38

We have two options
\[3x-2y \le4\]
\[3x-2y\ge 4\]
Choose a point from the shaded region, any point

Answer 39

-2,2

Answer 40

Given two points, you can find the equation of the straight line between them. So the solid line itself will be in the form of y = mx + b. If the line is sold and everything below is shaded, then it's y <= mx + b. If everything above is shaded, then it's y >= mx + b. If the line is dotted, then this implies the line itself isn't included, so it's y < mx + b or y > mx + b.

Answer 41

put x=-2 and y=2 in both of the inequalities and see which one is satisfied

Answer 42

the first one..

Answer 43

good, so that's our answer. Do you understand this?

Answer 44

yes thank u!!

Answer 45

welcome :)