Let the operation of addition be defined on subsets A and B of U by A + B = ( A ∪ B ) − ( A ∩ B ) . Use a Venn diagram with labelled regions to illustrate each of the following statements. a. A + B = ( A − B ) ∪ ( B − A ) b. A + ( B + C ) = ( A + B ) + C c. A ∩ ( B + C ) = ( A ∩ B ) + ( A ∩ C ) .
Let the operation of addition be defined on subsets A and B of U by A + B = ( A ∪ B ) − ( A ∩ B ) . Use a Venn diagram with labelled regions to illustrate each of the following statements. a. A + B = ( A − B ) ∪ ( B − A ) b. A + ( B + C ) = ( A + B ) + C c. A ∩ ( B + C ) = ( A ∩ B ) + ( A ∩ C ) .
Solution Summary: The author explains the operation of addition on subsets A and B of the universal set U using Venn diagram with labeled regions.
Let the operation of addition be defined on subsets
A
and
B
of
U
by
A
+
B
=
(
A
∪
B
)
−
(
A
∩
B
)
. Use a Venn diagram with labelled regions to illustrate each of the following statements.
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