Sets Relations And Functions Question 94

Question: Which of the following is true?

Options:

A) $ a\in {{a},b} $

B) $ {b,c}\subset {a,{b,c}} $

C) $ {a,b}\subset {a,{b,c}} $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d]a is not an element of $ {{a},b} $
    $ \therefore a\notin {{a},b} $ $ {b,c} $ is the element of $ {a,{b,c}} $
    $ \therefore {b,c}\in {a,{b,c}} $ $ b\in {a,b} $ but $ b\notin {a,{b,c}}. $
    $ \therefore {a,b}\not\subset {a,{b,c}} $