IV. Give the cardinality of the following sets.

Ex. A={a,b,c,d), the cardinality is Four, your answers should be written as A = 4

1. A {The first five counting numbers} 2

. B {Months of the year that have fewer than 31 days) 3. C{Present President of the Philippines)

4. D (Consonants in the word MATHEMATICS)

5. E {Counting numbers less than 16 and is divisible by 3)

The cardinality of a set is the number of elements in the set. Let's determine the cardinality for each given set:

1. **A = {The first five counting numbers}**
   - The first five counting numbers are 1, 2, 3, 4, and 5.
   - **A = 5**

2. **B = {Months of the year that have fewer than 31 days}**
   - The months with fewer than 31 days are February, April, June, September, and November.
   - **B = 5**

3. **C = {Present President of the Philippines}**
   - There is only one current president.
   - **C = 1**

4. **D = {Consonants in the word MATHEMATICS}**
   - The consonants in "MATHEMATICS" are M, T, H, M, T, C, S.
   - **D = 7**

5. **E = {Counting numbers less than 16 and divisible by 3}**
   - The numbers less than 16 that are divisible by 3 are 3, 6, 9, 12, and 15.
   - **E = 5**

Let me know if you'd like more details on any of the answers!

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### 5 Related Questions:
1. What is the difference between a finite set and an infinite set?
2. How do you find the cardinality of an infinite set?
3. What is the union of two sets and how does it affect cardinality?
4. How can we use set notation to describe more complex sets?
5. What are the properties of subsets in terms of cardinality?

### Tip:
When finding the cardinality of a set, always ensure you accurately identify all distinct elements without repetitions.

IV. Give the cardinality of the following sets.
1. A = {The first five counting numbers} 
2. B = {Months of the year that have fewer than 31 days} 
3. C = {Present President of the Philippines} 
4. D = {Consonants in the word MATHEMATICS} 
5. E = {Counting numbers less than 16 and divisible by 3}

Explore the cardinality of sets with this problem. Determine the number of elements in sets such as the first five counting numbers, months of the year with fewer than 31 days, consonants in 'MATHEMATICS,' and more. Suitable for Grades 6-8.

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