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:

{7,6,5,4,3,2,1,0,1}\{-7, -6, -5, -4, -3, -2, -1, 0, 1\}

Since this is not an empty set, the correct option is:

  • Option A: The set is {7,6,5,4,3,2,1,0,1}\{-7, -6, -5, -4, -3, -2, -1, 0, 1\}.

Would you like me to explain this in more detail or clarify any specific part?

Related Questions:

  1. What is the difference between inclusive and exclusive intervals in set notation?
  2. How would the set change if the range was inclusive of -8 and 2?
  3. What are the rules for representing infinite sets in set notation?
  4. How do you represent sets using interval notation instead of set notation?
  5. 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