Question

Consider the set Q of rational numbers, and let * be the operation on Q defined by
(a) Find (i) 3*4 (ii) 2*(-5) (iii) 7*(1/2)
(b) Is (Q,*) a semi-group? Is it commutative?
(c) Find the identity element for *?
(d) Do any of these elements in Q have an inverse? What is it?​

Answer 1

Answer:

consider

Step-by-step explanation:

Consider the set Q of rational numbers, and let * be the operation on Q defined by

(a) Find (i) 3*4 (ii) 2*(-5) (iii) 7*(1/2)

(b) Is (Q,*) a semi-group? Is it commutative?

(c) Find the identity element for *?

(d) Do any of these elements in Q have an inverse? What is it?