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A student asks if AsubeB and BsubeC , do we know AsubeC ? How do you answer? Choose the correst response. A. There could be
A student asks if
AsubeB
and
BsubeC
, do we know
AsubeC
? How do you answer?\ Choose the correst response.\ A. There could be an element in
A
that is in
B
but not in
C
. Therefore, if
AsubeB
and
BsubeC
, it is not necessarily true that
AsubeC
.\ B. The expression
AsubeB
means every element of
A
is contained in
B
. The expression
BsubeC
means that every element in
B
is contained in
C
. Therefore, every element of
A
is contained in
C
, and so
AsubeC
must be true.
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