Write the cardinal number of each of the following sets:

E = set of prime numbers between 5 and 15.

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Solution

Step : Finding the cardinal number of the given set

Given: E = set of prime numbers between 5 and 15

Prime numbers between 5 and 15 are 7,11,13 i.e., 3 elements.

We know that the cardinal number of a set is the number of elements in it.

Hence, the cardinal number of set E is 3.

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What is the cardinal number of following sets?

The set of prime number less than $10$

F = {x : x \in z a n d - 2 < x \leq 5} .

Write the following set in the tabular form and find their cardinal numbers $.$

$B = {x : x$ is a prime number of one digit $}$

A = {Numbers less than 15 divisible by 4}

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