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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.
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

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