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Example 33 - Show that V (a, b) -> max {a, b} - Chapter 1 - Examples

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  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
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Example 33 Show that the ∨ : R × R → R given by (a, b) → max {a, b} and the ∧ : R × R → R given by (a, b) → min {a, b} are binary operations. For max ∨ : R × R → R (a, b) → max {a, b} Here, a, b are real numbers & Maximum of 2 real numbers will also be a real number Hence, ∨ is a binary operation. For min ∧: R × R → R (a, b) → min{a, b} Here, a, b are real numbers & minimum of 2 real numbers will also be a real number Hence, ∧ is a binary operation.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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