Math Problem Statement

What interval does this graph show?

Solution

The image displays a graph with an interval marked in orange between 5 and 6 on the number line. The question asks, "What interval does this graph show?"

Since the highlighted section starts at 5 and ends at 6, the correct interval shown is [5,6][5, 6]. The options displayed in the image seem to all incorrectly show [4,6][4, 6], which is not consistent with the graph.

Thus, the correct interval should be [5,6][5, 6], but this option is not shown in the provided answers.

Do you want to go over more details about intervals or any other questions on this topic?

Here are 5 related questions for further practice:

  1. What does the interval [a,b][a, b] represent on a number line?
  2. How would an open interval (a,b)(a, b) differ from a closed interval [a,b][a, b] on a graph?
  3. How can you tell if an interval includes its endpoints?
  4. What is the meaning of half-open intervals like [a,b)[a, b) or (a,b](a, b]?
  5. How would you graph the interval (4,7)(4, 7)?

Tip: When interpreting intervals, always check if the endpoints are included or excluded (open vs. closed) to ensure correct interpretation.

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Math Problem Analysis

Mathematical Concepts

Intervals
Number Line
Mathematical Notation

Formulas

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Theorems

Interval Notation

Suitable Grade Level

Grades 5-7