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CBSE Class 7 Answered

what is meaning of counterexample in Maths
Asked by shopikashree291 | 05 Jul, 2020, 07:19: PM
answered-by-expert Expert Answer
A counterexample to a mathematical satisfies the statement's conditions but does not lead to the statement's conclusion.
 
Example
Consider a statement 'Opposite of any number is smaller than the original number'.
Here if we consider the original number as '2' then its opposite is '-2'
clearly 2 > -2
Now, consider the original number as '-1', its opposite is '1'.
Here the above statement does not satisfies and we conclude that the statement is not always true.

Answered by | 05 Jul, 2020, 08:50: PM
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