Sets-Relations-And-Functions Question 141

Question: Let A, B, C are three non-empty sets. If $ A\subset B $ and $ B\subset C, $ then which of the following is true?

Options:

A) $ B-A=C-B $

B) $ A\cap B\cap C=B $

C) $ A\cup B=B\cap C $

D) $ A\cup B\cup C=A $

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Answer:

Correct Answer: C

Solution:

  • [c]If $ A\subset B $ and $ B\subset C $ , then these sets is represented in Venn diagram as Clearly, $ A\cup B=B $ And $ B\cap C=B $ Hence, $ A\cup B=B\cap C. $