Question

Someone please help me graphing

Answer 1

x<=4

Answer 2

Dan: Know how to graph the line x=4? Would that line be vertical or horizontal?

Answer 3

i really dont know

Answer 4

i need x is less than or equal to 4

Answer 5

Do you have access to an algebra textbook (for reference)?

Yes, I know you need "x is less than or equal to 4," but I'm starting with a simpler situation.

Answer 6

No

Answer 7

On what do you depend to learn this algebra? Teacher's handouts?

Answer 8

Yes but i wasnt in the class those days

Answer 9

someone told me about something with horizontal and vertical but i forgot @mathmale

Answer 10

Please get out pencil and paper (unless you already have both available). Then draw x-and y-axes on paper.

Answer 11

Ok wait please

Answer 12

ready

Answer 13

So you've drawn the x- and y-axes and are now ready to plot cartesian coordinates?

Answer 14

yes

Answer 15

OK. divide up the x-axis by marking equally-spaced points, starting with 0, increasing through 1, 2, 3, 4, 5, and so on. Mark each point: 0, 1, 2, 3, 4, and so on. I'm sure you've done that before.

Answer 16

Yes

Answer 17

I did it already

Answer 18

If you have a ruler available, draw a vertical line through the mark x=4.

Answer 19

Otherwise, just sketch it.

Answer 20

ok

Answer 21

Done

Answer 22

Daniel, that vertical line represents "x=4". You are interested in identifying all points that either lie ON that vertical line or to the left of that line. Shade in the area to the left of the line now, please.

Answer 23

Done

Answer 24

That, Daniel, is the result you wanted. You have successfully graphed "x<=4."

Answer 25

Please draw another set of x- and y-axes. Mark y = 1 on the y-axis.

Answer 26

OK

Answer 27

If you have the ability to photograph your work and share it here on OpenStudy, I'd appreciate your doing that, but if you don't, OK.

Answer 28

So, have you marked the vertical axis at y=1?

Answer 29

yes

Answer 30

Now plese draw a horizontal line through the y-axis at y=1.

Answer 31

Done

Answer 32

What does that horizontal line represent? Describe this in words.

Answer 33

Start out with "this horizontal line represents the set of all points ....... "

Answer 34

This horizontal line represent the set of all points that intercept with Y=7

Answer 35

I think

Answer 36

I'd modify that to read:

This horizontal line represent the set of all points whose y-coordinate is 1.

Answer 37

(2,1), (-100, 1), (a,1) are all on that horiz. line and all have y-coordinate y=1. Right?

Answer 38

In other words, different x-coord, but same y-coord.

Answer 39

Dan: Please now shade in the area BELOW the line y=1.

Answer 40

Please describe in words what that shaded area represents.

Answer 41

the set of all number that are less than y=1

Answer 42

i think @mathmale

Answer 43

You've drawn a solid line through y=1, haven't you?

Answer 44

Dan?

Answer 45

Oh yes that right.
So it is all real numbers whose y coordinate is 1 or less
I think

Answer 46

that's exactly right.

Dan, especially i f you have no textbook, I encourage you to look things up on the Internet. Google has a fantastic search engine.

I'm going to do a quick search for the problem we just worked on: y is equal to or less than 1,

and give you the link.

Answer 47

https://www.google.com/search?q=y%3C1&rlz=1C1CHFX_enUS461US461&oq=y%3C1&aqs=chrome..69i57j0l5.9394j0j4&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8

Answer 48

this is less than perfect, since I didn't get the results i wanted for "y is equal to or less than 1".

Answer 49

Got it

Answer 50

Are you satisfied with the outcome of our discussion, Dan? Can you move forward now on your own, or have you more questions?

Answer 51

Just a few questions

Answer 52

When it is y=something, it is horizontal ritght?
When it is x=something, it is vertical ritght?
When is the slope Undefined?
What happen when y or x is equal to a negative number?

Answer 53

When it is y=something, it is A horizontal LINE.

When it is x=something, it is A vertical LINE.

When is the slope Undefined? ANY TIME YOU HAVE DIVISION BY ZERO. FOR EXAMPLE, IF Y INCREASES FROM 2 TO 5 BUT X DOES NOT CHANGE (FOR EXAMPLE, IT STAYS 3), THEN THE (UNDEFINED) SLOPE WOULD BE m = RISE/RUN = (5-2)/(3-3). CAN'T DIVIDE BY ZERO.


What happen when y or x is equal to a negative number?

EXAMPLE: IF Y IS NEGATIVE, SAY, NEGATIVE 2, THEN MARK THE Y-AXIS AT Y=-2 AND DRAW A HORIz LINE THROUGH THAT MARK. IF Y=A AND A IS NEG, THEN YOUR LINE WILL BE BELOW THE X-AXIS.

Answer 54

SIMILARLY, IF X=B AND B IS NEG., YOUR LINE WILL BE TO THE LEFT OF THE Y-AXIS.

Answer 55

I got it Thanks @mathmale

Answer 56

Delighted to hear that! "See" you again on OpenStudy! Best of luck to you.

Answer 57

OK