Question

Let A = {a, e, i, o, u} and B = {a, i, u}. Show that A ∪ B = A.

Answer 1

A={a,e,i,o,u}

B={a,i,u}

now A U B={a,e,i,o,u} U {a,i,u}

                 ={a,e,i,o,u}

                 =A

explanation-

A U B is a set including all the elements present in both the sets,and we know the elements in sets does not repeat itself,

which results in

A U B={a,e,i,o,u}

there fore forming the set A again