Question

http://prntscr.com/i2f1oi

Answer 1

@Vocaloid

Answer 2

first write equations for both lines (pretend they are just regular lines not inequalities, we will account for that later)

Answer 3

can we start with the solid line first or is there a specific order to them

Answer 4

it doesn't matter

Answer 5

solid line y intercept = (0, 4)

Answer 6

good, what's the slope?

Answer 7

-1?

Answer 8

good, so our equation in y = mx + b form is?

Answer 9

y= -1x + 4

Answer 10

awesome, now repeat the same process w/ the dashed line

Answer 11

y=3x

Answer 12

remember that slope is rise/run

Answer 13

y = 1/3x

Answer 14

good, y = (1/3)x

since the shaded region is below the solid line and above the dashed line we write

y > (1/3)x
y ≤ -x + 4

^ that's your system of equations, and we're done