Question

how to sketch the follwoing.. please explain.

Answer 1

\[A=\left\{ z:-1 \le Rez+Imz \le1 \right\} \]

Answer 2

let z = x+yi

Answer 3

Does it help?

Answer 4

i tried that but im still not getting it..

Answer 5

Now, Re(z)=x and Im(z)=y , so, -1<=x+y<=1

Answer 6

aha i see it, i think.. let me try to sketch and ill see what i get...

Answer 7

ok

Answer 8

is this correct so far?