Question

(A U B) U C = A U (B U C), which law of set theory is​

Answer 1

Answer:

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Answer 2

Answer:

Associative law

Step-by-step explanation:

To show that two sets are equal, we show inclusions both ways. That is, the first set contains the second and the second set contains the first which can only happen if they are the same set.

A∪(B∪C)⊆(A∪B)∪C

Let x∈A∪(B∪C)

This means that x∈A or x∈B∪C

⟹x∈A or x∈B or x∈C.

This is equivalent to x∈A∪B or x∈C.

⟹x∈(A∪B)∪C.