Question

The coordinate plane below represents a city. Points A through F are schools in the city.

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)

Part B: Explain how to verify that the points B and C are solutions to the system of inequalities created in Part A. (3 points

Answer 1

Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend. (2 points)

Answer 2

@ganeshie8 Hi could you please help me?

Answer 3

@hartnn

Answer 4

@Mandre

Answer 5

@blahhedup101

Answer 6

@mathstudent55 please help???

Answer 7

its the only question I have left

Answer 8

Please help me???

Answer 9

For part a, try :

y < x
y > -2x

Answer 10

do you have geogebra ?

Answer 11

ok and for part b and c?

Answer 12

uhm no

Answer 13

know how to graph inequalities ?

Answer 14

yeah i got that

Answer 15

enter them here
https://www.desmos.com/calculator

Answer 16

enter y < x and y > -2x?

Answer 17

yes first enter y<x

Answer 18

it graphs the region represented by that inequality

Answer 19

http://prntscr.com/4p5rfl

Answer 20

ok yeah i got that

Answer 21

good, for part B

can you tell me coordinates of points B and C ?

Answer 22

Point B: (3,1) point C: (3,-3)

Answer 23

Yes, plug each point into the inequalities and see if they satisfy them

y < x
y > -2x

Answer 24

ok

Answer 25

thats all you need to do for part B

Answer 26

so each of the point right not only point b and c

Answer 27

Only B and C

Answer 28

Part B: Explain how to `verify that the points B and C are solutions` to the system of inequalities created in Part A. (3 points

Answer 29

oh ok

Answer 30

and for part c?

Answer 31

did you finish part B ?

Answer 32

no not yet just give me a sec

Answer 33

take your time,
let me know if you don't understand something

Answer 34

Ok so in for Part B I have to plug in Point B and C into y < x and y >-2x right?

Answer 35

yes

Answer 36

Point B: (3,1) point C: (3,-3)

Answer 37

Point B: (3,1)

plugin x=3, y=1

y < x
1 < 3

which is true, so point B satisfies the first inequality

Answer 38

yep

Answer 39

and it also satisfy the second one

Answer 40

Point B: (3,1)

plugin x=3, y=1

y > -2x
3 > 2*1
3 > 2

which is true, so point B satisgies the second inequality also

Answer 41

yeah you need to show your work like that for part B

Answer 42

ok

Answer 43

what about part C

Answer 44

Part C: Lisa can only attend a school in her designated zone. Lisa's zone is defined by y > 2x + 5. Explain how you can identify the schools that Lisa is allowed to attend. (2 points)

Answer 45

You can graph the inequality y > 2x+5 and see which schools are in the shaded region right ?

Answer 46

ok lemme see one sec

Answer 47

just explain that only in part C answer

Answer 48

which schools can she attend ?

Answer 49

she can attend point E and D?

Answer 50

Very good !!

Answer 51

Explain in complete sentences how you figured out that in answer ok

Answer 52

ok THANK YOU VERY MUCHO YOU THE BEST :D

Answer 53

np :)