Given that for sets A and B in a universal set ... - JAMB Mathematics 1994 Question
Given that for sets A and B, in a universal set E, A \(\subseteq\) B then A \(\cap\)(A \(\cap\) B)1 is
A
A
B
\(\phi\)
C
B
D
E
correct option: b
A \(\subset\) B means A is contained in B i.e. A is a subset of B(A \(\cap\) B)1 = A1
A(A \(\cap\) B)1 = A \(\cap\) A1
The intersection of complement of a set P and P1 has no element
i.e. n(A \(\cap\) A1) = \(\phi\)
A(A \(\cap\) B)1 = A \(\cap\) A1
The intersection of complement of a set P and P1 has no element
i.e. n(A \(\cap\) A1) = \(\phi\)
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