Sets-Relations-And-Functions Question 114
For non-empty sets A, B and C
$ A-(B-C)=(A-B)\cap C $ $ A-(B\cup C)=(A-B)\cap 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
Correct Answer: 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.
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Answer:
Solution:
BETA
