Hi,

Could anyone please advise on this question?

I wonder if there is any other (simpler) way to solve this other than my approach.

I basically divided into four situations:

(1) 1-x>=0, y-1>=0

(2) 1-x>=0, y-1<0

(3) 1-x<0, y-1>=0

(4) 1-x<0, y-1<0

Then, I solved each equation with an algebra.

(1) y=x ; when 1>=x, y>=1

(2) y=-x+2 ; when 1>= x, y<1

(3) y=x ; when 1<x, y>=1

(4) y=-x+2 ; when 1<x, y<1

And then, I drew a graph for each situation.

I got the question right, but it took me like 7 minutes, so my approach definitely was a time sinkhole.

Does anyone know a better approach to solve this than mine? Would really appreciate your tips!