Math Problem Statement

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Express the interval shown on the number line in interval notation.

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:

[2,2][-2, 2]

Would you like more details, or do you have any further questions?

Here are 5 related questions to further explore the concept:

  1. How would the interval notation change if one of the points were open?
  2. What is the difference between open and closed intervals in set notation?
  3. How do you represent unbounded intervals in interval notation?
  4. How would this interval be expressed using inequalities?
  5. 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