Let A = {1, 2, 3, 4}, B = {5, 6, 7, 8}. Then R = {(1, 5), (1, 7), (2,

1.	Let A = {1, 2, 3, 4}, B = {5, 6, 7, 8}. Then R = {(1, 5), (1, 7), (2, 6)} is a relation from set A to B defined as : (a) R = {(a, b) : a, b are odd} (b) R = {(a, b) : a, b are even} (c) R = {(a, b) : a, b are primes} (d) R = {(a, b) : b/a is odd}
Answer» (d) R = {(a, b) : b/a is odd} • Since (2, 6) ∈R, the relation “a and b are odd” does not exist. • Since (1, 5) and (1, 7) ∈R, the relation “a and b are even” does not exist. • None of the ordered pairs in R are prime numbers. • \(\frac{5}{1}\) = 5, \(\frac{7}{1}\) = 7, \(\frac{6}{2}\) = 3, quotients being all odd numbers, the relation b/a is odd exists.

Let A = {1, 2, 3, 4}, B = {5, 6, 7, 8}. Then R = {(1, 5), (1, 7), (2, 6)} is a relation from set A to B defined as : (a) R = {(a, b) : a, b are odd} (b) R = {(a, b) : a, b are even} (c) R = {(a, b) : a, b are primes} (d) R = {(a, b) : b/a is odd}

Answer»

(d) R = {(a, b) : b/a is odd}

• Since (2, 6) ∈R, the relation “a and b are odd” does not exist.

• Since (1, 5) and (1, 7) ∈R, the relation “a and b are even” does not exist.

• None of the ordered pairs in R are prime numbers.

• \(\frac{5}{1}\) = 5, \(\frac{7}{1}\) = 7, \(\frac{6}{2}\) = 3, quotients being all odd numbers, the relation b/a is odd exists.

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Let A = {1, 2, 3, 4}, B = {5, 6, 7, 8}. Then R = {(1, 5), (1, 7), (2, 6)} is a relation from set A to B defined as : (a) R = {(a, b) : a, b are odd} (b) R = {(a, b) : a, b are even} (c) R = {(a, b) : a, b are primes} (d) R = {(a, b) : b/a is odd}

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