Let be a relation from a set A to a set B, then
(a) R = A ∪ B
(b) R = A ∩ B
(c) R ⊆ A × B
(d) R ⊂ B × A
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Answer:
(c) R ⊆ A × B
If R is a relation from set A to set B, then R is always a subset of A × B.
Explanation:
- A relation from A to B is a set of ordered pairs (a, b) such that a ∈ A and b ∈ B.
- In other words, a relation from A to B is a subset of A × B.
- If A is a set then a relation on A means a relation from A to A.
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