Question

More systems of linear inequalities questions. Haha... Medals will be rewarded.

Answer 1

The graph below represents which system of inequalities?

Answer 2

Can you explain to me how I would go upon solving this? :)

Answer 3

whaat do you need to find ?

Answer 4

I need to find the system of inequalities for this. They give me options, but they don't come out right when I try to copy and paste them.

Answer 5

ok, first thing you can start with is to test some points.

and the easiest point to test is 0,0

so, plug in x=0, y =0 in your inequalities
see which come out to be true and which come out to be false

Answer 6

you can directly eliminate those options for which you get false

Answer 7

There are two that come out to be correct with that.

Answer 8

\[y \le -2x + 3\]

Answer 9

ok, now take any other point, of your choice
which lies inside the solution set, (the darkest region)
and test that point

Answer 10

okay soooo, which region. Color blind, they all look the same. Top, left, right, or bottom?

Answer 11

you will have 2 such inequalities in each option right ??
make sure you get true for BOTH inequalities

Answer 12

i am color blind too :P
bottom is darkest

Answer 13

Okay. My dad said that the left one is darkest XD

Answer 14

so, hows (-1,1) ? does that sound like a good one to work with?

Answer 15

yes, it lies in the solution set (the bottom one! :P)

Answer 16

so, i plug that into the two sets and see which one works?

Answer 17

thats correct

Answer 18

Okay, I got this one. Can you stay around just in case i need help with another?

Answer 19

did you get it as
y <= -2x+3
and
y<= x+3
?

Answer 20

and sure

Answer 21

Yeah. Thats the answer I got.