Login/Sign Up
Home » Write down the contrapositive of the following statements: (i) If and , then . (ii) If is a natural number, then is an integer.
Write down the contrapositive of the following statements:
(i) If x = y and y = 3, then x = 3.
(ii) If n is a natural number, then n is an integer.
CBSE | Class 11 | Mathematical Reasoning | Maths | NCERT Exemplar
Write down the contrapositive of the following statements:
(i) If x = y and y = 3, then x = 3.
(ii) If n is a natural number, then n is an integer.

Solution:

(i) It is known to us that a conditional statement is logically equivalent to its contrapositive.

Contrapositive: If x\ne 3, then x\ne y or y\ne3

(ii) It is known to us that a conditional statement is logically equivalent to its contrapositive.

Contrapositive: If n is not an integer, then it isn’t a natural no.

i

More Material