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Write down the contrapositive of the following statements: (i) If all three sides of a triangle are equal, then the triangle is equilateral. (ii) If $x$ and $y$ are negative integers, then $xy$ is positive
Write down the contrapositive of the following statements:
(i) If all three sides of a triangle are equal, then the triangle is equilateral.
(ii) If $x$ and $y$ are negative integers, then $xy$ is positive
CBSE | Class 11 | Mathematical Reasoning | Maths | NCERT Exemplar
Write down the contrapositive of the following statements:
(i) If all three sides of a triangle are equal, then the triangle is equilateral.
(ii) If $x$ and $y$ are negative integers, then $xy$ is positive

Solution:

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

Contrapositive: If the triangle isn’t equilateral, then all the 3 sides of the triangle aren’t equal.

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

Contrapositive: If $xy$ isn’t positive integer, then $x$ or $y$ isn’t negative integer.

i

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