Question

The graph below is represented by which system of inequalities? (Graph in comments)

-4x + 2y 8
y < -x + 4

-4x + 2y < 8
y -x + 4

-4x + 2y > 8
y -x + 4

-4x + 2y 8
y < -x + 4

Answer 1

Which line is y = -x + 4? It has negative slope right?

Answer 2

i think, im not sure though :/

Answer 3

You want the hatched area. Is that GREATER than -x + 4 or less than?

Answer 4

greater than

Answer 5

Since its a solid line, the line itself is also part of the solution, so include an "and equal to" with the "greater than"

Answer 6

Is the black hashed area greater than or less than the dotted line?