Question

Help with a multiple choice question.
Which graph best represents the solution to the following system?
-3x+y <1
-x+y ≤ 1

Answer 1

if you were to pick one, which one makes the most sense to you?

Answer 2

a simple point to test on this might be (0,0) if that is a solution to the system, then it has to be in a shaded region; if not, then we can exclude it

Answer 3

Im confused on the shading sections.

Answer 4

the shades just refer to the true solutions. If a point is a solution, it will be within the shaded part

Answer 5

i notice that 0,0 is simple to test so that we can determine if that point is in the shade or not

Answer 6

oh ok.

Answer 7

-3x+y <1
0 0
---------
0<1 is true

-x+y ≤ 1
0 0
---------
0 ≤ 1 is true

so the point 0,0 HAS to be in the shaded part

Answer 8

B is the only one that shows that 0,0 is shaded.

Answer 9

then B has to be the correct choice :)

Answer 10

Thank you :)

Answer 11

yw