UGC NET CSE | August 2016 | Part 2 | Question: 3

Question

Let $A$ and $B$ be sets in a finite universal set $U$. Given the following : $|A - B|, |A \bigoplus  B|, |A| + |B|$ and $|A \cup B|$ Which of the following is in order of increasing size ?

• A. $|A - B| < |A \bigoplus  B| < |A| + |B| < |A \cup B|$ 
• B. $|A \bigoplus B| < |A - B| < |A \cup B| < |A| + |B|$
• C. $|A \bigoplus B| < |A| + |B| < |A - B| < |A \cup B|$ 
• D. $|A - B| < |A \bigoplus B| < |A \cup B| < |A| + |B|$

Answer 1

(D)  option answer

Comments

can u plz explain it ??

Answer 2

No option is correct, But Option $D$ is the closest option & best choice among all.

Detailed Video Solution: https://youtu.be/CND7s_mwqDw 

For correct answer, in option D we must have $\leq$ instead of $<.$