question_answer

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

A) \[B-A=C-B\]

B)        \[A\cap B\cap C=B\]

C) \[A\cup B=B\cap C\]

D)        \[A\cup B\cup C=A\]

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, \[A\cup B=B\cap C.\]