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Mathematics
Mathematics
Problem
Which of the following best describes the range of a relation
R
⊆
A
×
B
R \subseteq A \times B
R
⊆
A
×
B
? a)
A
×
B
A \times B
A
×
B
b)
{
b
∈
B
∣
∀
a
∈
A
,
(
a
,
b
)
∈
R
}
\{\,b \in B \mid \forall a \in A\,,\,(a,b) \in R\,\}
{
b
∈
B
∣
∀
a
∈
A
,
(
a
,
b
)
∈
R
}
c)
{
b
∈
B
∣
∃
a
∈
A
,
(
a
,
b
)
∈
R
}
\{\,b \in B \mid \exists a \in A\,,\,(a,b) \in R\,\}
{
b
∈
B
∣
∃
a
∈
A
,
(
a
,
b
)
∈
R
}
d)
{
a
∈
A
∣
∃
b
∈
B
,
(
a
,
b
)
∈
R
}
\{\,a \in A \mid \exists b \in B\,,\,(a,b) \in R\,\}
{
a
∈
A
∣
∃
b
∈
B
,
(
a
,
b
)
∈
R
}
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