Math Problem Statement
Fill in the blank to describe this inequality with interval notation: -3 < x ≤ 4
Solution
The inequality shown in the image is:
To write this in interval notation:
- At , there is an open circle, indicating that is not included in the interval. So, we use a parenthesis .
- At , there is a closed circle, indicating that is included in the interval. So, we use a bracket .
Thus, the interval notation for this inequality is:
Would you like more details or have any other questions?
5 Related Questions:
- What is the difference between an open and closed interval?
- How do you express inequalities using number lines?
- How do you convert inequalities into interval notation for both open and closed intervals?
- What happens to interval notation if both endpoints are excluded or included?
- Can you apply interval notation to compound inequalities?
Tip:
Always pay attention to the type of circle (open or closed) on the number line when translating to interval notation; open circles mean parentheses, and closed circles mean brackets.
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Math Problem Analysis
Mathematical Concepts
Inequalities
Interval Notation
Number Line
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8