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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.

image showing examples of subsets

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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