Question

Question

Find the cardinal number of the set

{1x∣∣∣x∈ℤ and 2≤x≤5}

Answer 1

4

Explanation:

For the given set, {1x∣∣∣x∈ℤ and 2≤x≤5}, x∈ℤ means that the elements of the set are integers and 2≤x≤5 means the integers are values from 2 to 5.

Note that integers are whole numbers. The integers from 2 to 5 are 2, 3, 4 and. 2 and 5 are included to due the equality sign present in the inequality.

The elements of the set are {2, 3, 4, 5}.

Cardinal number of the set is similar to cardinality of the set. In set theory, cardinality of a set is the total number of element in the set. According to the set above, the total number of element in the set is 4.

Hence the cardinal number of the set is 4