question_answer 55)

State whether the following statements are true for false, Justify.       (i) For an arbitrary binary operation * on a set N, a *       a =                             (ii) If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a.  

Answer:

(i) False : For example a * b = a + b  a, b       Here * a = a + a = 2a ()        given statement is false.       (ii) True : Given * is commutative.             Here,        Given statement is true.