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We were told to consider the first quadrant points satisfying the inequality:Thanks Mark and Ackbach! I now got same answer answer and integrade in two way

The only thing I did not understand is how we got this limits of integration. for x we got from 0 to 4-y and for y we got from 0 to 4 I did not understand how you get that.

\(\displaystyle x+y\le4\)

So for $x$, this implies:

\(\displaystyle 0\le x\le 4-y\)

And for $y$, this implies:

\(\displaystyle 0\le y\le 4\)