Sets and operations related to it

Operations of Sets

On the set Q of all rational numbers an operation * is defined by a*b=1+ab. show that * is a binary operation on Q.

word problems related to operations of sets

Define identity element for a binary operation defined on a set.

Consider the binary operation ^^ on the set {1,quad 2,quad 3,quad 4,quad 5} defined by a^^b operation table of the operation ^^ .

A relation in a set A is called ......... relation, if each element of A is related to itself.

‘Machine’ is related to ‘Operator’ in the same way as ‘Car’ is related to ‘_________’