What is set notation for domain and range?
Understand the Problem
The question is inquiring about the formal set notation used to represent the domain and range of a function. It seeks to understand how these mathematical concepts are expressed using sets.
Answer
{x | 10 ≤ x < 30}
The set notation for domain and range uses curly brackets {} to denote 'the set of,' a vertical bar | to denote 'such that,' and the conditions that the variable(s) must meet. For example, {x | 10 ≤ x < 30} represents the set of x-values such that 10 is less than or equal to x, and x is less than 30.
Answer for screen readers
The set notation for domain and range uses curly brackets {} to denote 'the set of,' a vertical bar | to denote 'such that,' and the conditions that the variable(s) must meet. For example, {x | 10 ≤ x < 30} represents the set of x-values such that 10 is less than or equal to x, and x is less than 30.
More Information
In set notation, specific symbols like braces and vertical bars help to precisely define the set of possible values for domain and range. This is particularly useful in mathematics for clearly conveying constraints.
Tips
A common mistake is forgetting to include the variable before the vertical bar or misusing inequality symbols. Verify the correct format and conditions.
Sources
- Using Notations to Specify Domain and Range - math.libretexts.org
- How do you write domain and range in set notation? - homework.study.com
- Domain and Range - Math.net - math.net
