Question

"There should be one region that satisfies all of the inequalities in this problem. Identify this region by drawing the inequality lines and shading the region that satisfies all of the inequalities.
x>_0
x<_12
y<1/2x+6
x+3y>_12

Answer 1

the first one means you are to the right of the y axis

Answer 2

the second one means you are to the left of \(x=12\)

Answer 3

so you are between these two goal posts

Answer 4

you already graphed \(y<\frac{1}{2}x+6\)

Answer 5

one more to go

Answer 6

what are the points for the last one?

Answer 7

guess i made another mistake

Answer 8

i just dont know which points to graph for x+3y>=12

Answer 9

so i shade which part now?

Answer 10

\(x+3y=12\) as \(y\) intercept \((0,4)\) as in the previous problem
also \(x\) intercept \((12,0)\)

Answer 11

the middle stuff

Answer 12

oh thats right! :)

Answer 13

got it! thanks!!

Answer 14

yw