Single Answer MCQ
Q-00051614
If R is a relation and it is transitive, which must hold?
1
If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R
2
If (a, b) ∈ R, then (b, a) ∈ R
3
If (a, b) ∉ R, then (b, a) ∉ R
4
If (a, b) ∈ R, then (a, a) ∈ R
Answer and Solution
Answer
A. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R
Solution:
Transitivity requires that if (a, b) and (b, c) are in relation R, then (a, c) must also be in R.
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