Sets Relations And Functions Question 70

Question: If A, B, C are there sets, then what is $ A-(B-C) $ equal to?

Options:

A) $ A-(B\cap C) $

B) $ (A-B)\cup C $

C) $ (A-B)\cup (A\cap C) $

D) $ (A-B)\cup (A-C) $

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c]Following Venn diagram shows the relation $ A-(B-C) $ In the above Venn diagram, horizontal lines shows (A - B) and vertical lines show $ (A\cap C) $
    $ \therefore (A-B)\cup (A\cap C)=A-(B-C) $