Math Problem Statement
Write the interval notation and set-builder notation for the given graph. The graph shows a solid circle at -10, extending to the right with an arrow.
Solution
The graph represents a number line starting at , with a solid circle at , extending to the right (greater than or equal to ).
Interval Notation:
The interval includes and goes to positive infinity:
Set-Builder Notation:
The set of all numbers such that is greater than or equal to :
Would you like a detailed explanation of how interval and set-builder notations work?
Here are 5 related questions to deepen your understanding:
- What does a solid circle on the graph signify compared to an open circle?
- How is infinity represented in interval notation, and why is it always open?
- What is the difference between and ?
- Can you write an example of a set with both an upper and lower bound?
- How would the graph look if the inequality was instead of ?
Tip: Always remember that infinity and negative infinity are never included in interval notation because they are not actual 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 7-9