1. By drawing a Venn Diagrams with three overlapping circles show that generally (AUB)nCnot equalto AU(BnC)

What are the conditions on A, B and C for (AUB)nCequalto AU(BnC)

If A = {irrationals}, B = {integers} and C {reals} does the equality from above hold in this case? Draw a Venn Diagram showing the relationships between A, B and C?