Define an operation * on the set of all relational numbersas follows:r

1.	Define an operation * on the set of all relational numbersas follows:r * s = r + s − (r × s),for any two rational numbers r, s. Answer the following with justification:(i) Is closed under the operation ?(ii) Is an associative operation on ?(iii) Is * a commutative operation on ?(iv) What is a * 1 for any a in (v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.
Answer» Define an operation * on the set of all relational numbersas follows: r * s = r + s − (r × s),for any two rational numbers r, s. Answer the following with justification: (i) Is closed under the operation ? (ii) Is an associative operation on ? (iii) Is * a commutative operation on ? (iv) What is a * 1 for any a in (v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.

Define an operation * on the set of all relational numbersas follows:r * s = r + s − (r × s),for any two rational numbers r, s. Answer the following with justification:(i) Is closed under the operation ?(ii) Is an associative operation on ?(iii) Is * a commutative operation on ?(iv) What is a * 1 for any a in (v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.

Answer»

Define an operation * on the set of all relational numbersas follows:

r * s = r + s − (r × s),for any two rational numbers r, s. Answer the following with justification:

(i) Is closed under the operation *?

(ii) Is * an associative operation on ?

(iii) Is * a commutative operation on ?

(iv) What is a * 1 for any a in

(v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.