Example, 8 Identify the type of “Or” used in the following statements and check whether the statements are true or false: (i)﷐﷮2﷯ is a rational number or an irrational number. The component statements are p: ﷐﷮2﷯ is a rational number. q: ﷐﷮2﷯ is an irrational number. We know that ﷐﷮2﷯ is irrational number as it cant be Written in form ﷐𝑝﷮𝑞﷯ Hence first statement is false and second statement is true Since the connecting world to ‘Or’ So the compound statement is true It is exclusive or as ﷐﷮2﷯ is either rational or not It cant be both.

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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