Question

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

(vi) : P={prime numbers which divide 70 exactly} and Q=

{prime numbers which divide 105 exactly

Answer 1

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

Given:

P = {prime numbers which divide 70 exactly} = 2, 5, 7

$\therefore$ roaster form of P = {2,5,7}

Number of elements in set P = 3

Also, Q = {prime numbers which divide 105 exactly} = 3, 5, 7

$\therefore$ roaster form of Q = {3, 5, 7}

Number of elements in set Q = 3

$\therefore$ Only the number of elements are equal in set P and set Q .

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

Hence, set A and set B are equivalent set.