Set A = {a, b, c} A relation ‘R’ is defined on set A = {a, b, c} as R = {(a,…
Set A = {a, b, c}
A relation ‘R’ is defined on set A = {a, b, c} as
R = {(a, b), (b, c), (a, c), (c, d), (a, d), (a, a), (b, b)}
Choose the correct option about ‘R’.
Answer: D. R is not irreflexive, not reflexive, not symmetric — ‘R’ is not irreflexive, because xRx is present i.e., (a, a). ‘R’ is not reflexive, because (x, x) is not present ∀x∈Ai.e., (c, c) is not present. ‘R’ is not…
- A.
R is irreflexive, reflexive, not symmetric
- B.
R is irreflexive, symmetric
- C.
R is irreflexive, not symmetric
- D.
R is not irreflexive, not reflexive, not symmetric
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Correct answer: D
‘R’ is not irreflexive, because xRx is present i.e., (a, a). ‘R’ is not reflexive, because (x, x) is not present ∀x∈Ai.e., (c, c) is not present. ‘R’ is not symmetric, because for (a,b), (b,a) is not in R.