Question

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

i: A={first four natural numbers} and B={first four whole numbers }

Answer 1

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

Given :

A = {first four natural numbers} = {1,2,3,4}

Number of elements in set A = 4

And

B = {first four whole numbers} = {0,1,2,3}

Number of elements in set B = 4

$\therefore$ The number of elements are same in set A and set B, but elements are not same.

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

Hence, the above pair of sets is an equivalent set.