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\[\int f(x)-g(x)dx\]i believe

\[\left| 3x-18 \right|+\left| 2y+7 \right|\le3\]

or triangles :)

That looks pretty difficult to graph...

looks can be deceiving ....

|3x-18| + |2y+7| - 3 <= 0

|dw:1328570964268:dw|better try this on the wolf

http://www.wolframalpha.com/input/?i=%7C3x-18%7C+%2B+%7C2y%2B7%7C+-+3+%3C%3D+0

what methods for area can we use? vectors, determinants, simpler stuff?

algebra most likely; we know when x=6 the the left || drops out

ohh, thtas actually what the graph of the wplf gives;

if i could type that would read more impressive lol

wait, so how did out find the vertices (btw, great work, it's really easy to follow)

i zeroed out each |...| by setting its variable to something that would make it zero

then i solved for the remaining |....| and its results are the other parts of our orered pairs

i think i have something easier

im sure there is an easier way, but thats just not how a roll :)

ohhh, ok, thanks amistre64 for your help!

youre welcome :)

check x=6, y=-3 as a solution

those 4 points of interest create parallelgram or some sort of shape that confinces the solution set

well, it aint a square, but its alteast rhombused

|dw:1328573417841:dw|

height = 1.5
base = 1
A = bh/2 = 1.5/2 = .75 right?
.75*4 = total area

im going with 3 :)