Question

Which system of inequalities does the graph represent?

Answer 1

first you want to write the equations of the red lines and the blue lines, know how to do this?

Answer 2

maybe hold on

Answer 3

(Red) y=x+2
(Blue) y=-2x+3

Answer 4

good

Answer 5

they have the equations written in a different form, so we need to take yours and do some re-arranging

Answer 6

ok

Answer 7

let's take the red:

y=x+2

if we subtract x from each side we get

y - x = 2

Answer 8

the shaded part is above the red line so it becomes:

y - x >= 2

Answer 9

ok

Answer 10

and its not a dashed line so is it greater than or equal to?

Answer 11

let's take your blue equation y=-2x+3

adding 2x to both sides gives us

y + 2x = 3

the shaded area is below the blue line so it becomes

y + 2x <= 3

Answer 12

yeah,

Answer 13

so you get

y - x >= 2
y + 2x <= 3

so it's answer #2

Answer 14

oh ok thx