Math Problem Statement
Solution
The graph represents all values greater than or equal to . Let's break it down:
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Interval Notation:
Since the values start at (inclusive) and extend to infinity (), the interval notation is:
- The square bracket ] indicates that is included.
- The parenthesis ) for shows that infinity is not a specific number and cannot be included.
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Set-Builder Notation:
In set-builder notation, this can be written as:
(This reads: "The set of all such that is greater than or equal to .")
Let me know if you'd like additional explanations!
Here are 5 related questions for practice:
- What would the interval notation be for ?
- How do we represent using set-builder notation?
- What does the interval notation represent on a number line?
- How do we write such that is between and (inclusive) in interval notation?
- Can infinity () or negative infinity () ever have a square bracket in interval notation? Why or why not?
Tip: When writing interval notation, always use parentheses with infinity () or negative infinity () because they are not finite numbers!
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Math Problem Analysis
Mathematical Concepts
Inequalities
Interval Notation
Set-Builder Notation
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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