Math Problem Statement
-[-5]-[5]
Solution
The interval refers to the set of all real numbers between -5 and 5, inclusive of both endpoints. In interval notation, square brackets mean that the endpoints are included.
Key features of the interval :
- It includes both -5 and 5 (because of the square brackets).
- Any real number within this range satisfies .
- This interval contains all real numbers between -5 and 5, such as , etc.
Would you like a deeper explanation of intervals or how they're used?
Here are five related questions to expand on this concept:
- How would the interval look if it only included numbers between -5 and 5 but excluded the endpoints?
- What is the difference between open and closed intervals?
- How would you represent a half-open interval from -5 to 5?
- Can you define the interval using set-builder notation?
- What is the length of the interval ?
Tip: In interval notation, round brackets are used to exclude endpoints, while square brackets are used to include them.
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Math Problem Analysis
Mathematical Concepts
Real Numbers
Intervals
Inequalities
Formulas
Interval Notation: [a, b] denotes all real numbers between a and b inclusive.
Inequality: a ≤ x ≤ b, where x is a real number.
Theorems
Fundamental Theorem of Real Numbers on Intervals
Suitable Grade Level
Grades 6-8