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  • Form the biconditional statement P\leftrightarrow q, where i) p : The unit digit of an integer is zero. q : It is divisible by 5.

Form the biconditional statement P\leftrightarrow q, where

i) p : The unit digit of an integer is zero.
q : It is divisible by 5.

ii) p : A natural number n is odd.
q : Natural number n is not divisible by 2.

iii) p : A triangle is an equilateral triangle.
q : All three sides of a triangle are equal.

Answers (1)

i) We use only & only if in biconditional statements, here,

p: The unit digit of an integer is zero.

q: It is divisible by 5.

Thus, p ↔ q = Unit digit of an integer is zero if and only if it is divisible by 5.

ii)  We use only & only if in biconditional statements, here,

p: A natural no. n is odd

q: Natural no. n is not divisible by 2.

Thus, p ↔ q = A natural no. is odd if and only if it is not divisible by 2.

iii)  We use only & only if in biconditional statements, here,

p: A triangle is an equilateral triangle.

q: All three sides of a triangle are equal.

p ↔ q = A triangle is an equilateral triangle if and only if all three sides of triangle are equal.

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