Math Problem Statement
Rewrite the set J by listing its elements. Make sure to use the appropriate set notation: J = {x | x is an integer and -5 < x ≤ -1}.
Solution
The image you provided asks to rewrite the set using set-builder notation. The set is described as:
This set is composed of integers that satisfy the condition , meaning is between -5 and -1, not including -5 but including -1.
In set-builder notation, this can be rewritten as:
Here:
- means that is an integer.
- defines the range for .
Would you like further clarification on set-builder notation or related topics?
Here are 5 questions to expand your understanding:
- What is the difference between set-builder notation and interval notation?
- How would you express this set using interval notation if it was over real numbers?
- Can you represent a set of non-integers using set-builder notation?
- What are the rules for determining when a number belongs to a set in set-builder notation?
- How does the notation change if the set includes decimal or rational numbers?
Tip: Always pay attention to whether a set includes or excludes boundary points, such as using strict inequalities or , versus or .
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set-Builder Notation
Inequalities
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9