Math Problem Statement

If A = (–2, 5) and B = [4,7], A ᴗ B?

Solution

The operation ABA \cup B represents the union of sets AA and BB. The union of two sets includes all distinct elements from both sets.

Given:

  • A={2,5}A = \{-2, 5\}
  • B={4,7}B = \{4, 7\}

The union ABA \cup B is: AB={2,5,4,7}A \cup B = \{-2, 5, 4, 7\}

Final Answer:

AB={2,5,4,7}A \cup B = \{-2, 5, 4, 7\}

Would you like a more detailed explanation or examples? Here are some related questions to explore:

  1. What is the intersection of AA and BB (ABA \cap B)?
  2. How do you find the difference between AA and BB (ABA - B)?
  3. What is the cardinality (size) of ABA \cup B?
  4. How is ABA \cup B different from ABA \cap B?
  5. Can a union operation involve more than two sets?

Tip: In a union operation, repeated elements between sets are written only once in the result.

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Math Problem Analysis

Mathematical Concepts

Set Theory
Union of Sets

Formulas

A ∪ B = {x | x ∈ A or x ∈ B}

Theorems

Union of Sets in Set Theory

Suitable Grade Level

Grades 6-8