JAMB - Mathematics (1994 - No. 9)
Given that for sets A and B, in a universal set E, A \(\subseteq\) B then A \(\cap\)(A \(\cap\) B)' is
A
\(\phi\)
B
E
Explicació
A \(\subset\) B means A is contained in B i.e. A is a subset of B(A \(\cap\) B)' = A'
A(A \(\cap\) B)' = A \(\cap\) A'
The intersection of complement of a set P and P' has no element
i.e. n(A \(\cap\) A') = \(\phi\)
A(A \(\cap\) B)' = A \(\cap\) A'
The intersection of complement of a set P and P' has no element
i.e. n(A \(\cap\) A') = \(\phi\)