Math Problem Statement
inequality notation interval notation
Solution
The image shows a number line representing an interval. Based on the visual information, there is a filled blue dot at and an open circle at , with a line connecting the two points.
Interpretation:
- The filled dot at indicates that is included in the interval.
- The open circle at shows that is not included in the interval.
Notations:
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Inequality Notation: This means that is greater than or equal to and less than .
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Interval Notation: The square bracket "[" indicates that is included, and the parenthesis ")" indicates that is not included.
Would you like further details or have any specific questions?
Here are 5 related questions to explore further:
- How do you write inequalities for intervals that extend infinitely?
- What is the difference between open and closed intervals in mathematics?
- How do you express compound inequalities involving "or" or "and"?
- What does a number line look like for a union of two intervals?
- How do you graph inequalities involving absolute value on a number line?
Tip: Always pay attention to whether an interval includes or excludes its endpoints when interpreting inequalities or interval notation!
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Math Problem Analysis
Mathematical Concepts
Inequalities
Interval Notation
Formulas
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Theorems
Concept of closed and open intervals
Suitable Grade Level
Grades 6-8