Example 20 - For given statements identify necessary, sufficient - Examples

  1. Chapter 14 Class 11 Mathematical Reasoning
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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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