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# 10 Examples of Subsets

October 10, 2023
written by Rida Mirza

In mathematics, subsets are fundamental concepts that describe relationships between sets. A subset is a set that contains only elements that are also found in another set.

In this article, we will discuss ten examples of subsets in mathematics.

## Examples of Subsets

These are 10 examples of subsets.

### 1: Set of Natural Numbers

Set {1, 2} is a subset of {1, 2, 3, 4}.

### 2: Set of Even Numbers

A set of even numbers {2, 4, 6} is a subset of the set of natural numbers {1, 2, 3, 4, 5, 6, 7…}.

### 3: Set of vowels

The set of vowels {a, e, i, o, u} is a subset of the set of alphabets {a, b, c, d, e, f…}.

### 4: Set of Prime Numbers

A set of prime numbers less than 10 {2, 3, 5, 7} is a subset of the set of natural numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

### 5: Set of Planets

The set of planets {Earth, Mars, Venus} is a subset of the set of planets in our solar system {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}.

### 6: Set of Colors in a Rainbow

Colors of the rainbow (ROYGBIV – Red, Orange, Yellow, Green, Blue, Indigo, Violet) form a subset of the set of all colors

### 7: Set of Divisors of a Number

A set of divisors of a number is a subset of the set of positive integers. For example, the divisors of 12 are {1, 2, 3, 4, 6, 12}

### 8: Geometric Shapes

In geometry, subsets are commonly used. For example, the set of all triangles is a subset of the set of all polygons.

### 9: Set of Rectangles

Set of rectangles is a subset of the set of quadrilaterals.

### 10: Set of Irrational Numbers

A set of irrational numbers is a subset of the set of real numbers.

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