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 4This 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

Which of the following is not negation of statement “Sum of 2 and 3

1.	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 4This 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
Answer» 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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