Math Problem Statement
solve this
Solution
The number line in the image shows two points, -2 and 2, which are both filled in, indicating that they are included in the interval. The interval includes all the numbers between -2 and 2, and since the filled circles indicate that the endpoints are part of the interval, the interval is closed.
Therefore, the correct interval notation is:
Would you like more details, or do you have any further questions?
Here are 5 related questions to further explore the concept:
- How would the interval notation change if one of the points were open?
- What is the difference between open and closed intervals in set notation?
- How do you represent unbounded intervals in interval notation?
- How would this interval be expressed using inequalities?
- How do we represent the union of two intervals in interval notation?
Tip: In interval notation, brackets [ ] denote closed intervals (endpoints included), while parentheses ( ) denote open intervals (endpoints excluded).
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Math Problem Analysis
Mathematical Concepts
Interval Notation
Number Line
Formulas
Closed interval: [a, b] where a and b are included.
Theorems
Properties of intervals and real numbers.
Suitable Grade Level
Grades 6-8