Example 20 For the given statements identify the necessary and sufficient conditions. t: If you drive over 80 km per hour, then you will get a fine. Let p and q denote the statements: p : You drive over 80 km per hour. q : You will get a fine. If p then q means p is sufficient far q. That driving over 80 km per hour is sufficient to get a fine. Hence sufficient condition is driving over 80 km per hour If p then q means q is necessary for p When you drive over 80 km per hour , you will necessary get a fine Here the necessary condition is getting a fine

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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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