Question

{ a, e, i, o, u }and {a, b, c, d} are disjoint sets. State whether the statement is True (or) False And Justify it

Answer 1

concept : Two sets A and B are said disjoint sets only when intersection of A and B becomes empty set or null set.
e.g., if A and B are two sets then they are disjoint sets when $A\cap B=\emptyset$


here, A = {a , e, i, o, u} and B = {a, b, c, d}
then, $A\cap B$ = {a , e, i, o, u} $\cap$ {a, b, c, d}
= {a} ≠ $\emptyset$

so, A and B are not disjoint sets.
hence, the statement is false.

Answer 2

Solution :

Given statement is False .

Explanation :

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Two sets A and B are said to be

disjoint , if they have no elements

in common .

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

and B = { a , b , c , d } are not disjoint

as they have common element ' a '

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