First slide

Operations on Sets

Question

Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

Easy

A

A is always a subset of the complement of B
B

B is always a subset of A
C

A and B are always disjoint
D

A and the complement of B are always non-disjoint

Solution

$∴$ A is not a subset of B
$∴$ Some point of A will not be a point of B, So that point will being to complement of B .
Hence A and complement of B are always non-disjoint

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