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Subset Examples. For a set A to be a subset of a set B, the only condition is every element of A should be present in B. Based upon this, here are a few subsets examples. A = {1, 2, 3} is a subset of B = {1, 2, 3, 4, 10} A = {p, q, r} is a subset of B = set of all alphabets. A = set of all even numbers is a subset of B = set of all integers.
25 apr 2024 · Example: List all the subsets the set Q = {1, 2, 3}. Answer: The subsets of Q are { }, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3} and {1, 2, 3} Subset Symbol. A subset is indicated by the symbol and read as ‘is a subset of’ in set theory. A subset is represented by a symbol given by ⊆. Subsets can be expressed using this symbol as follows:
Let’s solve some examples of a subset: Example 1. Determine whether A is a subset of B in the following: A = {set of all even numbers}, B = {set of whole numbers} A = {1, 2, 3}, B = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {all writing equipment at a stationary shop}, B = {pens} A = {sedan}, B = {all cars}
Examples of subsets. Other properties of inclusion. See also. References. Bibliography. External links. Subset. Euler diagram showing. A is a subset of B (denoted ) and, conversely, B is a superset of A (denoted ). In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A.
Lesson on Subsets | Math Goodies. Example 1: Given A = {1, 2, 4} and B = {1, 2, 3, 4, 5}, what is the relationship between these sets? We say that A is a subset of B, since every element of A is also in B. This is denoted by: A Venn diagram for the relationship between these sets is shown to the right. Answer: A is a subset of B.
A subset is a set of elements that are also in another set. Recall that a set is a collection of distinct elements. For example, \ {\text {cat}, \text {dog}, \text {fish}, \text {bird}\} {cat,dog,fish,bird} is a set containing a few animals, \ {2,4,6,8,10\} {2,4,6,8,10} is a set of even numbers, and \ {a, b, c, d\} {a,b,c,d} is a set of letters.
The following diagram shows an example of subset. Scroll down the page for more examples and solutions on subsets. Example: A = {1, 3, 5}, B = {1, 2, 3, 4, 5}, C = {1, 2, 3, 4, 5} A is a subset of B, A ⊆ B. because every element in A is also in B. A is also proper subset of B, A ⊂ B. because every element in A is also in B and A ≠ B.
