1. ## Right then who can do this tuff cookie (1)

1. By drawing a Venn Diagrams with three overlapping circles show that generally (AUB)nC not equal to AU(BnC)

What are the conditions on A, B and C for (AUB)nC equal to 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?

2. Originally Posted by alexis
1. By drawing a Venn Diagrams with three overlapping circles show that generally (AUB)nC not equal to AU(BnC)

What are the conditions on A, B and C for (AUB)nC equal to 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?
Since $\displaystyle (A \cup B) \cap C = (A \cap C) \cup (B \cap C)$, the condition is that $\displaystyle A = A \cap C$ or equivalently $\displaystyle A \subset C$. In the case described by you, the condition is true.

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# AUBNC

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