A possible way:
If , suppose (without loss of generality) that
then
Prove that:
or
analyzing the cases
.
Fernando Revilla
Please forgive me in advance if this post is not in the correct section!! Anyways, one of my homework problems is to show that the symmetric difference Δ satisfies the cancellation law, namely, if AΔB=AΔC then B=C. It seems like this is fairly simple however I just can't seem to figure out what to do with this. Thank you for your help!
A possible way:
If , suppose (without loss of generality) that
then
Prove that:
or
analyzing the cases
.
Fernando Revilla