Math Problem Statement
Use set notation to list all the elements of the set. The integers between -8 and 2, not inclusive.
Solution
The problem asks for the integers between -8 and 2, not inclusive. This means we do not include -8 and 2 themselves.
Integers between -8 and 2 are:
- -7, -6, -5, -4, -3, -2, -1, 0, 1
Correct Set Notation:
Since this is not an empty set, the correct option is:
- Option A: The set is .
Would you like me to explain this in more detail or clarify any specific part?
Related Questions:
- What is the difference between inclusive and exclusive intervals in set notation?
- How would the set change if the range was inclusive of -8 and 2?
- What are the rules for representing infinite sets in set notation?
- How do you represent sets using interval notation instead of set notation?
- What happens if we are asked for only positive integers in the same range?
Quick Tip:
When working with inequalities or ranges, always double-check whether the endpoints are included (≤, ≥) or excluded (<, >) to avoid common mistakes.
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Math Problem Analysis
Mathematical Concepts
Set Notation
Integers
Number Ranges
Formulas
List integers satisfying -8 < x < 2
Theorems
Concept of Inclusive vs. Exclusive Intervals
Suitable Grade Level
Grades 6-8