Question

Solve the following systems of inequalities using the graphing method.
Shade the solution set.
. x+y>4
y+3x<6

show graph

Answer 1

@megan_tanuis

Answer 2

Put them into slope-intercept form
Subtract x from both sides on the first one
The second one subtract 3x from both sides

Answer 3

slope intercept y=mx+b right?

Answer 4

Correct

Answer 5

x+y>4
-x -x
y>4-x

Answer 6

y+3x<6
-3x -3x
y<6-3x

Answer 7

That's good, now graph them.

Answer 8

@megan_tanuis can you go over how you know where to graph i always get confused with graphing

Answer 9

Well lets go first one. \[y >-x+4\]
Your y-intercept it 4, so go ahead and plot that point on the Y axis

Answer 10

Lets do the first one*

Answer 11

so since your y is 4 you put a dot on (0,4)?

Answer 12

Yes

Answer 13

like this?

Answer 14

@megan_tanuis

Answer 15

That's right, so now your slope. Your slope is -1, so since its not a fraction, you make it one by add a one under it. So in this case you go down one, right one from the point you've already plotted

Answer 16

Yeah, now keep doing that down until you can't anymore, then up one left one from the same y-intercept

Answer 17

how do you draw a line on that website you gave me? i clicked draw line "on"

Answer 18

Click on an x, then click on another one and it draws it for you

Answer 19

okay so this is what my graph should look like?

Answer 20

now i have to graph y<6-3x

Answer 21

right?

Answer 22

im not sure how to do that

Answer 23

yeah, that's correct for the graph. So do the same for
\[y <-3x+6\]
plot your y-intercept at 6, then go down 3 and right 1 for as far as you can go, then go up 3 and left 1 for as far as you can go

Answer 24

do you know any other graphing websites? that one only goes up to 5 not 6 i can't plot first dot

Answer 25

@megan_tanuis

Answer 26

Hold on and I will find another for you

Answer 27

Are you able to draw on a picture on your computer or even use art?

Answer 28

i can..its just this is for my class and the teacher docent like it as much we get marked down for drawing are own since they do not look as nice

Answer 29

Hm. Okay, let me find another then

Answer 30

http://nces.ed.gov/nceskids/createagraph/

Answer 31

i can't get it to work, i hate that graphing on computer has to be so difficult for my math class.

Answer 32

how do i tell what it is consistent? inconsistent?

Answer 33

@megan_tanuis

Answer 34

If it intersects are on point it is consistent and independent. It also has one solution
If its the same line, such as :
\[x+y=4\]
\[x+y=4\]
then it is consistent and dependent. It also has infinitely many solutions.
if they have the same slope, such as:
\[y=2x+1\]
\[y=2x+4\]
then they are parallel lines, have no solution and are inconsistent

Answer 35

That's how you know

Answer 36

so this would be inconsistent?

Answer 37

there are suppose to be two lines for this graph correct? i tried using the website https://www.desmos.com/calculator and you can actually click point slope form and just plug everything in but it wouldn't allow me to make two lines

Answer 38

@megan_tanuis

Answer 39

Yes, you're also supposed to shade since it's an inequality. Do the line intersect at all?

Answer 40

i think they do.. like i said the website i was trying to use wouldn't allow me to do 2 lines. Is anyone on open study have another graphing website i need these problems done within 2 days... @the_smart_blonde @thomaster @thundernova308 @THEUSER822 @TheBlackDamask099 @TheyCallMeNike @gorv @Harsha19111999

Answer 41

I'll do it for you so the graph is neat because there is ways of drawing it on your own, yet making it neat

Answer 42

@megan_tanuis

Answer 43

you drew one?