Write the negation of each of the following statements:   (i) Every natural number is
Channel: Doubtnut
Date: 2020-04-19

Write the negation of each of the following statements:   (i) Every natural number is greater than 0.   (ii) Both the diagonals of a rectangle are equal.   (iii) The sum of 4 and 5 is 8.   (iv) The number 6 is greater than 4.   (v) Every natural number is an integer.   (vi) The number -5 is a rational number.   (vii) All cats scratch.   (viii) There exists a rational number x such that `x^(2) = 3.`   (ix) All students study mathematics at the elementary level.   (x) Every student has paid the fees.   (xi) There is some integer k for which 2k = 6.   (xii) None of the students of this class has passed.