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Mathematics
Mathematics
Problem
3. Let
A
,
B
A, B
A
,
B
, and
C
C
C
be the sets such that
A
∪
B
=
A
∪
C
A \cup B=A \cup C
A
∪
B
=
A
∪
C
and
A
∩
B
=
A
∩
C
A \cap B=A \cap C
A
∩
B
=
A
∩
C
. Show that
B
=
C
\mathrm{B}=\mathrm{C}
B
=
C
.
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