In the method of contradiction, in order to validate a statement we need to find an exception or a contradictory case for the given statement.

True

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False

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Solution

The correct option is A
True

The method of contradiction is one where a given statement can be disproved by giving one exception to a given statement. If somebody says that Mount Kanchejunga is the highest mountain peak in the world, in order to find the validity of this statement, it is sufficient to give the example of Mount Everest as a contradiction, thus disproving the given statement.

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Check the validity of the statements given below by the method given against it

(i) p : The sum of an irrational number and a rational number is irrational (by contradiction method)

(ii) q : If n is a real number with n > 3, then $n^{2} > 9$ (by contradiction method)

Check the validity of the statements given below by the method given against it.

(i) p: The sum of an irrational number and a rational number is irrational (by contradiction method).

(ii) q: If n is a real number with n > 3, then n² > 9 (by contradiction method).

In order to prove the statement “If p then q” we need to show that:

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