Question

I) y ≥ 0
II) y ≤ x
III) x + y ≤ 3

Answer 1

(it's all the same problem i have to use all three to find the answer)

Answer 2

somebody?
anybody?

Answer 3

@thomaster

Answer 4

Is the answer to be in the form of a graph or something else?

Answer 5

@directrix
all it tells me is
"On a separate sheet of paper graph each system of inequalities and enter your answer in the space provided. Show your work."
But since i don't have a graph I'm assuming i just input my answer somehow

Answer 6

I suggest that we use the Desmos online graphing program.
Are you up for that?

Answer 7

https://www.desmos.com/ if you want to look at it first.

Answer 8

Sure, how do you use it?

Answer 9

@Directrix

Answer 10

Go over there and click on launch calculator.

Answer 11

alrighty

Answer 12

Do you see the grid with the "keys" underneath?

Answer 13

yes

Answer 14

Copy and get ready to paste your first inequality next to the blue 1 on the upper left side. The 1 is for the first equation. Do that and let's see what happens.

Answer 15

from the 0 up it's all red

Answer 16

i entered all three equations and they all intersect at (1.5, 1.5)

Answer 17

It should be because that is where all points with y coordinate 0 and bigger are found.

Now, enter your second equation.

Answer 18

done and done i entered all three (-:

Answer 19

You are fast.

Answer 20

would my answer be where they intersect?

Answer 21

X out the keyboard.

You can make the graph zoom by moving your cursor or whatever you are using.

The intersection is your answer. How to describe that is the next question.

Answer 22

Would
(1.5, 1.5)
describe it?

Answer 23

(thank you for your help btw!)

Answer 24

To get the coordinates of the triangle that is the intersection of all 3 graphs, put you cursor on the point and click. The coordinates will pop up.

Answer 25

Thanks!
I have a few more questions i could sure use a little help on if your willing (-:

Answer 26

I don't think we are finished with this yet. We have the graph but what are you supposed to do with it?

Answer 27

ohhh i'm sorry i thought that the intersection points was enough
i'm actually not quite sure what i'm supposed to do with the intersection points....

Answer 28

No. That was just something to see.

Answer 29

Your answer program should tell you how to enter the answer. What does it say?

Answer 30

all my homework says is
On a separate sheet of paper graph each system of inequalities and enter your answer in the space provided. Show your work.


so i'm not exactly sure what they want

Answer 31

If these three inequalities were equalities, then the answer would be the one point all three of the lines have in common.

But, that is not what we are doing.

We will have infinitely many answers because of the inequalities.

Maybe we are supposed to give the x restrictions on that triangle and also the y restrictions.

Answer 32

Go to the graph and find the smallest x of the 3-way shade. What is it?

Answer 33

(0,3) i think

Answer 34

(0,3) is on the y-axis.

Answer 35

Here is the intersection.

Answer 36

oh i'm sorry
(3,0)

Answer 37

Keep the Desmos graph open.

Answer 38

On the x-axis, the smallest value of x included in the 3-way shade is the leftmost x coordinate. It is not (3,0). Look again.

Answer 39

(0,3) is not in the 3-way shade. That point is not part of the solution

Answer 40

(0,3) does not make the second inequality true.

y ≤ x

Is 3 ≤ 0. No.

Answer 41

(i've been looking on the graph and i'll be darned if i can find another point)

Answer 42

Look at my attachment.

Answer 43

0,0?!

Answer 44

Answer this question:

The x values of the solution begin at ? and end at ?

Answer 45

The x values begin at 0 and end where?

Answer 46

3

Answer 47

The y coordinates in the shade begin where and end where

Answer 48

1.5 and 1.5?

Answer 49

so far i have
(0,0)

(1.5, 1.5)

(3,0)

Answer 50

@Directrix ?

Answer 51

I'm thinking how the solution set should be written.

Answer 52

Oh ok just making sure you were still here (-:

Answer 53

The triangular region is the graph of the solution set.
The solution set has domain; 0 ≤ x ≤ 3
The solution set has range 0 ≤ y ≤ 1.5

Answer 54

(so would that be my finial answer?)

Answer 55

That does not look right but I am not sure why.

Answer 56

We need to find somebody for a second opinion on this.

Answer 57

alright but who?

Answer 58

btw for the next question it is
I) x ≥ 0
II) y ≥ 0
III) x – y + 2 > 0
IV) 2x – y < 2

and i found this so far using that calculator gizmo
(-2,0)

(0,2)

(4,6)

(1,0)

Answer 59

@jim_thompson5910

Answer 60

@jdoe0001