Question

State whether the given pair of sets are equal or equivalent:

(iii) E={ even natural numbers less than 10} and O={odd natural numbers less than 9}

Answer 1

Step : Check whether the given pair of sets are equal or equivalent

Given:

E = {even natural numbers less than 10}

= {2,4,6,8} in roaster form and

Number of elements in set E = 4

And O = {odd natural numbers less than 9}

= {1,3,5,7} in roaster form

Number of elements in set O = 4

$\therefore$ The elements of set E and set O are different but number of elements are same.

And we know that two sets are said to be equivalent, if they have equal number of elements in them.

Hence, the sets E and set O are equivalent sets.