Assignment:
The symmetric difference of two sets A and B, denoted by A ΔB, is defined by A Δ B = ( A - B ) U ( B - A ); it is thus the union of their differences in opposite orders. Show that A Δ ( B Δ C ) = ( A Δ B ) Δ C.
Provide complete and step by step solution for the question and show calculations and use formulas.