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Which of the following is not negation of statement “Sum of 2 and 3 is greater than 4”?

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Which of the following is not negation of statement “Sum of 2 and 3 is greater than 4”?

(a) Sum of 2 and 3 is smaller than 4

(b) Sum of 2 and 3 is smaller than or equal to 4

(c) Sum of 2 and 3 is not greater than 4

(d) It is false that sum of 2 and 3 is greater than 4

This question was addressed to me in class test.

This is a very interesting question from Mathematical Reasoning topic in portion Mathematical Reasoning of Mathematics – Class 11

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Correct answer is (a) Sum of 2 and 3 is smaller than 4

For explanation I would say: Negation of greater is ‘not greater’. ‘Not greater’ means either smaller than or equal to. So, “Sum of 2 and 3 is smaller than or equal to 4”, “Sum of 2 and 3 is not greater than 4”, “Sum of 2 and 3 is not greater than 4” are negation of the given statement. And “Sum of 2 and 3 is smaller than 4” is not the negation of given statement as it should include equal to also.

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