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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.

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