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1.Set Theory
easy
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
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
(d) $A$ is not a subset of $B$
$\therefore $ Some point of $A$ will not be a point of $B$, So that point will being to ${B^c}$.
Hence $A$ and complement of $B$ are always non-disjoint.
Standard 11
Mathematics
