Question

The graph below represents which system of inequalities?

graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line.

A y ≤ −2x + 3
y ≤ x + 3
B y ≥ −2x + 3
y ≥ x + 3
C y ≤ −3x + 2
y ≤ −x + 2
D y > −2x + 3
y > x + 3

Answer 1

can you use the "draw" below and sketch ?

Answer 2

I know it is not C

Answer 3

do you know that a solid line includes the boundary and a broken line (dash) does not include the boundary?

Answer 4

yes

Answer 5

how about the shading?

Answer 6

not sure about that, does it mean it is < or equal to

Answer 7

usually
shade above the line >
shade below the line <

Answer 8

okay

Answer 9

does that mean we cross out A and C

Answer 10

for example pick a value of x let x = 2
how does it compare with the line , check with the formula

Answer 11

um i think i figured it out can you tell me if i am correct, i will tell you how i got it?

Answer 12

I think it is D. This is because it is > not >=. You only do >= when the boundary is lined not solid. Is this correct

Answer 13

Can u tell me what i did wrong?

Answer 14

solid includes =

Answer 15

oh really? i must have confused the signs and boundaries. Thank you for pointing that out

Answer 16

it's hard flipping back and forth give me a few minutes to put in the eqn

Answer 17

sure, its fine :)

Answer 18

it isnt be I checked and it doesnt work out

Answer 19

that leaves either A or D so.......