Mathematical Reasoning Class 11 OP Malhotra Exe-27B ISC Maths Solutions

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Mathematical Reasoning Class 11 OP Malhotra Exe-27B ISC Maths Ch-27 Solutions. In this article you would learn about Quantifiers. Step by step solutions of latest textbook has been given as latest syllabus. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

Mathematical Reasoning Class 11 OP Malhotra Exe-27B ISC Maths Solutions

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Mathematical Reasoning Class 11 OP Malhotra Exe-27B ISC Maths Solutions Ch-27

Board ISC
Publications  S Chand
Subject Maths
Class 11th
Chapter-27 Mathematical Reasoning
Writer O.P. Malhotra
Exe-27(B) Quantifiers

Quantifiers.

Mathematical Reasoning Class 11 OP Malhotra Exe-27B ISC Maths Ch-27 Solutions.

Que-1: Identify the quantifier in the following statements.
(i) There exists a capital city for every state of India.
(ii) For every real numbers, x is less than x + 1.
(iii) At least one natural number is not a prime number.

Sol: (i) There exists.
(ii) For every.
(iii) Atleast.

Que-2: Symbolise the following statements.
(i) There is at least one number in the set of natural numbers which is equal to ‘its’ cube.
(ii) The square of every real number is positive.
(iii) There exists at least one number in A = {5, 7, 8, 9, 10} which is an even number.
(iv) For every real number x, x < x + 1.
(v) The square roots of all prime numbers are irrational numbers. (Let P denote the set of prime numbers and Q that of irrational numbers).

Sol:  (i) ∃ x ∈ N s.t x = x3
since 1 e N and 1 = 13
(ii) ∀ x ∈ R s.tx2 > 0
(iii) ∃ x ∈ A s.t x is even, since 8, 10 ∈ A
(iv) ∀ x ∈ R, x < x + 1, since successor of every real number is greater than itself.
(v) ∀ x ∈ P, √x ∈ Q

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