Question

Write the following sets in explicit form and determine the cardinality of

each set.
a) μ = {x: x is a positive counting number less 25}

Answer 1

As the givens set μ has 24 elements.

Therefore,

• Cardinality = 24

Explanation:

Given

μ = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus, the set μ is:

μ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}

We know that cardinality of the set is the number of elements in a given set.

As the givens set μ has 24 elements.

Therefore,

• Cardinality = 24