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) $