Sets Relations And Functions Question 96
Question: Consider the following statements: For non-empty sets. A, B and C
- $ A-(B-C)=(A-B)\cup C $
- $ A-(B\cup C)=(A-B)-C $
Which of the statements given above is/are correct?
Options:
A) 1 only
B) 2 only
C) Both 1 and 2
D) neither 1 nor 2
Show Answer
Answer:
Correct Answer: B
Solution:
- [b]Let there be three non-empty, non-overlapping sets; inside a universal set U. This creates 8 regions marked as: a, b, c, d, e, f, g, h. Statement1: $ A-(B-C)=(A-B)\cup C $ LHS represent region a, RHS represent a, d, g. Hence, this is not correct. Statement2: $ A-(B\cup C)=(A-B)-C $ LHS represents, region ?a? RHS also represent a. Hence, only statement 2 is correct.
BETA
