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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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