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Example 2 - If P = {a, b, c} and Q = {r}, find P x Q and Q x P

Example 2 - Chapter 2 Class 11 Relations and Functions - Part 2

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Example 2 If P = {a, b, c} and Q = {r}, find the sets P × Q and Q × P. Are these two products equal? P = {a, b, c} and Q = {r} P × Q = {a, b, c} × {r} P × Q = { Q × P = {r} × {a, b, c} Q × P = { (a, r), (b, r), (r, a), (r, b), Since (a, r) ≠ (r, a) P × Q ≠ Q × P Since the corresponding first and second elements are not equal, hence the two ordered pairs are not equal.

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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.