Class 11 RD Sharma Solutions – Chapter 31 Derivatives – Exercise 31.4 Improve Improve Improve Like Article Like Save Article Save Share Report issue Report Question 1. Write the negation of each of the following statements: (i) For every x ∈ N, x + 3 > 10 (ii) There exists x ∈ N, x + 3 = 10 Solution: (i) The negation of the statement is “There exist x ∈ N, such that x + 3 <= 10.” (ii) The negation of the statement is “There exist x ∈ N, such that x + 3 ≠ 10.” Question 2. Negate each of the following statements: (i) All the students complete their homework. (ii) There exists a number which is equal to its square. Solution: (i) Some of the students did not complete their homework. (ii) For all real numbers x, x2≠x.” Last Updated : 21 Dec, 2020 Like Article Save Article Previous Class 11 RD Sharma Solutions - Chapter 31 Derivatives - Exercise 31.3 Next Class 11 RD Sharma Solutions - Chapter 31 Derivatives - Exercise 31.5 Share your thoughts in the comments Add Your Comment Please Login to comment...