Math Problem Statement

rewrite the following set by listing their elements between braces. If it is an infinite set, write out enough elements for the reader to see the pattern, then use ellipses. Set a: {n ∈ Z: -5≤n<4}

Solution

The set AA can be rewritten by listing its elements as:

A={5,4,3,2,1,0,1,2,3}A = \{-5, -4, -3, -2, -1, 0, 1, 2, 3\}

Would you like more details or have any questions about this set?

Here are 5 related questions to deepen your understanding:

  1. How would the set change if the inequality was 5<n4-5 < n \leq 4?
  2. What is the cardinality of the set AA?
  3. How can we express the set AA using interval notation?
  4. How would the set look if nn was a real number instead of an integer?
  5. How can you describe this set using set-builder notation?

Tip: When working with sets, always pay attention to whether the inequality includes equality (like \leq) or strict inequality (like <<).

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Math Problem Analysis

Mathematical Concepts

Set Theory
Inequalities
Integer Sets

Formulas

Set notation

Theorems

Set-builder notation

Suitable Grade Level

Grades 6-8