The symmetric difference of two sets A and B is given by A∆B=(A∪B)-(A∩B).
Prove or Disprove the following statement (**)
If A, B and C are set satisfying A∆B=B∆C, then A=C.
** Hint: Think cases and proof can be formal or pictorial. How would you try and convince your class whether this statement is true or false?