Question

Which system of inequalities corresponds to the graph of the shaded area below?

Answer 1

the graph and the answer choices are attached.

Answer 2

first, we need to find the equation of the lines.
the solid line passes through (-1,1) and (3,4)
so its equation is y-1=(3/4)*(x+1)
y = (3x/4) +1.75

can you find the dashed line equation ?

Answer 3

it passes through (0,2) and (1,6) right?

Answer 4

you mean (2,0) and (1,6)

Answer 5

yes, sorry i don't know why i wrote it out that way.

Answer 6

so our equation would be

Answer 7

y=-6x+12

Answer 8

?

Answer 9

correct!

Answer 10

now, as you can see, the shaded area is for y SMALLER than the bold line and y LARGER than the dashed line

Answer 11

yes i see that

Answer 12

so what is the answer then ?

Answer 13

am i just figuring the equations out then?

Answer 14

i'm not sure how to solve that, i'm not getting anything close to any of the choices.

Answer 15

do you understand ?

Answer 16

oh sorry !!

Answer 17

OH yes i see that now, i understand.

Answer 18

as i said we need larger than the dash
so :
y>-6x+12
and lower than the bold :
y <= (3x/4) +1.75
(there is equal herre because it is bold)

so it is C