Which of the following represents a proper subset? A) {1, 2, 3} is a subset of {1, 2, 3, 4} B) {1, 2, 3} is a proper subset of {1, 2, 3} C) {1, 2, 3, 4} is a proper subset of {1, 2... Which of the following represents a proper subset? A) {1, 2, 3} is a subset of {1, 2, 3, 4} B) {1, 2, 3} is a proper subset of {1, 2, 3} C) {1, 2, 3, 4} is a proper subset of {1, 2, 3, 4} D) {1, 2} is a proper subset of {1, 2, 3}
Understand the Problem
The question is asking which of the provided options correctly identifies a proper subset. A proper subset means that all elements of the first set are in the second set, and the second set contains at least one additional element.
Answer
{1, 2} is a proper subset of {1, 2, 3}.
The final answer is D) {1, 2} is a proper subset of {1, 2, 3}.
Answer for screen readers
The final answer is D) {1, 2} is a proper subset of {1, 2, 3}.
More Information
A proper subset is a subset that contains some, but not all, elements of another set. In other words, the subset must be smaller, meaning both sets cannot be equal for it to be considered proper.
Tips
A common mistake is thinking a set can be a proper subset of itself, but it cannot because it doesn't have fewer elements.
Sources
- Meaning, Examples | Proper Subset - Cuemath - cuemath.com
- Proper Subsets: Definition, Symbol, Examples, and Differences - geeksforgeeks.org
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