Question

The graph below represents which system of inequalities?

graph of two intersecting lines. One line is solid, and goes through the points (0, negative 2) and (1, 0) and is shaded in below the line. The other line is dashed, and goes through the points (0, 3) (3, 0) and is shaded in above the line.

y > 2x - 3
y > -x - 3

y < 2x - 2
y < -x + 3

y less than or greater to 2x - 2
y > -x + 3

None of the above

Answer 1

@mtbender74 @Peabody

Answer 2

@ganeshie8 @AccessDenied @iPwnBunnies @Hero plz help

Answer 3

First get the equations for corresponding lines in `slope-intercept` form

Answer 4

The solid line rising up by 2 units for every 1 unit to right, so the slope is `2`
Also it is cutting the y axis at -2, that makes the y-intercept = `-2`

So the equation for solid line is : `y = 2x - 2`

Answer 5

Can you try writing out the equation for dotted line ?

Answer 6

Yes ill try

Answer 7

good, get the slope and y-intercept first

Answer 8

The slope for the dotted line is -1 because it is decreasing by one and its rise/run

Answer 9

Yes !

Answer 10

How do you get the y intercept again I forgot...

Answer 11

"intercept" is a fancy word for "cut"

Answer 12

its the place at which the line cuts the y axis

Answer 13

3?

Answer 14

right !!

Answer 15

Y=Mx + B

Answer 16

Y=-1x + 3

Answer 17

Looks good !

Answer 18

so the corresponding equations are :
y = 2x - 2
y = -x + 3

right ?

Answer 19

wait how did you get the first equation?

Answer 20

we're almost done !
just need to fix the inequality based on the shading shown in the graph

Answer 21

look at my second reply from top

Answer 22

Oh ok XD didn't see that

Answer 23

So its C?

Answer 24

lol okay :)
knw how to fix the inequality based on shading ?

Answer 25

No not really I kinda just go on a graphing app and get the shading from there

Answer 26

just put `<` symbol if the shading is `DOWN`

Answer 27

Yes but there are different shadings what do those mean

Answer 28

look at the graph again,
the shading for solid line is `DOWN` the line - so the inequality is :
\( \large y \le 2x-2\)

Answer 29

Whereas the shading for dotted line is `ABOVE` the line - so the inequality is :
\(\large y > -x + 3\)

Answer 30

Oh ok I got it I think

Answer 31

great ! just be careful on when to use \(\le \) and just \(\lt\)

Answer 32

How do you get that sign on the keboard I know how to get <> but I ont know the other one

Answer 33

here it is :

solid line : \(\le, \ge\)
dotted line : \(\lt, \gt\)

Answer 34

oh you need to use latex code

Answer 35

copy paste exact below in ur next reply :

```
\(
\le
\)
```

Answer 36

\(

Answer 37

?

Answer 38

copy paste the entire thingy

Answer 39

oh ok ike this?
\(
\le
\)

Answer 40

it worked!

Answer 41

Thank You! and just to make sure its c right?

Answer 42

Congrats ! yes C is right :)

Answer 43

Thanks

Answer 44

yw