Question

Part A: Using the graph above, create a system of inequalities that only contain points C and F 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 C and F are solutions to the system of inequalities created in Part A. (3 points)

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

Answer 1

@jim_thompson5910 @mathmate @MathematicalyExactOne

Answer 2

@JozelynW
Do you know in which quadrant are the points C and F?

Answer 3

1????

Answer 4

Correct!
So what are the characteristics of Q1?

Answer 5

positive qu

Answer 6

...meaning how can you describe the points that are inside of Q1?

Answer 7

all the points in the Q1 are positive

Answer 8

x and y

Answer 9

positive, positive

Answer 10

that's all i know

Answer 11

exactly, do you mean x>0, y>0 ?

Answer 12

@JozelynW ?

Answer 13

i think so

Answer 14

0 and up

Answer 15

Are there other points in the first quadrant?

Answer 16

noo

Answer 17

I'll post some hints, since you appear to be busy.
For
A. the conditions for Q1 (x>0 and y>0) suffice for the constraints, since there are no other points in Q1.
B. Test the coordinates of C and F to make sure they satisfy the conditions in A.
C. Draw the line that correspond to the inequality y<-2x+2, and it should be dotted because it means that points ON the line do not satisfy the constraints.
Y "less than" -2x+2 means that it's the area below the dotted line that satisfies the constraint. So look for the schools below the dotted line.

Answer 18

Proceed all three parts using the hints and you should be ok.

Answer 19

kk

Answer 20

are u leaving