Question

Help on an Algebra 1 graphing question?

Answer 1

@Hero

Answer 2

@Kainui

Answer 3

@perl

Answer 4

@dan815

Answer 5

just partition the graph so that you get BC in its own little space ...

Answer 6

here is one way to divvy up the grid so that B and C are in their own space.

Answer 7

ahh im sorry, can you walk me through it? im really confused. is that supposed to be the shaded region im working with?

Answer 8

get B and C into their own little space; the the definition of inequalities will hav ethem in the required shaded region yes

Answer 9

define 2 lines that divide up the space ......

you need to now how to form lines on a graph and then represent them with an equation .... are you capable of that?

Answer 10

graphing is my weakest point so I probably know how to do it im just not very good :/ would I have to find the points of B and C to get the inequality?

Answer 11

youll have to know what they are to prove they satisfy it, but not necessarily to create it

Answer 12

heres a set of 2 more lines that work

Answer 13

and another

Answer 14

do you understand the first concept ... drawing a set of lines so that B abd C are seperated from everything else.

Answer 15

yes i understand that part. they're just lines though, right?

Answer 16

just a set of lines that fit the instructions yes. can you show me what you think would work? keep in mind that you are also going to want to define the lines afterwards so you might want to keep it simple

Answer 17

ill show you my simplest idea if you can tell me yours :)

Answer 18

i think that the second set of lines you sent will work? only because i see more room to work with

Answer 19

x > 0
y < 2

Answer 20

now if we want to have x and y spots for a given point:

1x + 0y > 0
0x + 1y < 2

these are valid definitions right?

Answer 21

yes i think so

Answer 22

well if youwant to use something else, then you can ... but lets at lest use this to process the rest of the results

Answer 23

Part A: Using the graph above, create a system of inequalities that only contain points B and C in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)

how would you do this? ...and wheres my 5 points?

Answer 24

lets do:

x >= 0

y <= 2

that way we can just use solid lines .. unless you like dotted lines?

Answer 25

solid lines are fine

Answer 26

solid lines represent all the points on a line ... all the points that are equal to the line

therefore we express the inequality with a certian measure of equality to it.

so, how do we draw these lines and shade them?

Answer 27

would that be using the < or equal to symbol?

Answer 28

<= or >= yes

Answer 29

\[\le~or~\ge\]

Answer 30

so to draw the lines you would need to input an equation?

Answer 31

no .. you would need to describe how to make the line which is most likely what your previous lessons have covered in detail.

for example: the line x >= 0 is a solid vertical line drawn thru x=0. Since we want to represent all the points that have an x greater than 0 .... we shade the right side of the graph.

Answer 32

what would the description of the other line be?

Answer 33

for y?

Answer 34

or for the other side of the graph

Answer 35

we are describing how to draw a line, and shade the appropriate area.

i demonstarted how to work if for x >= 0

now the other line is .... y <= 2, proceed

Answer 36

so would it be x<=0?

Answer 37

no

Answer 38

i described how to draw the line and shade the appropriate area like this:

the line x >= 0 is a solid vertical line drawn thru x=0. Since we want to represent all the points that have an x greater than 0 .... we shade the right side of the graph.

the other line is y <=2 and i want you to describe it and its shaded area for me.