Form the bi conditional statement p ↔ 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.
(i) p: The unit digit of an integer is zero. q: It is divisible by 5.
In the bi conditional statement, we use if and only if.
p: The unit digit of an integer is zero.
q: It is divisible by 5.
Then,
p ↔ q = Unit digit of an integer is zero if and only if it is divisible by 5.
(ii) p: A natural number n is odd. q: Natural number n is not divisible by 2.
In the bi conditional statement, we use if and only if.
p: A natural number n is odd.
q: q : Natural number n is not divisible by 2.
Then,
p ↔ q = A natural number is odd if and only if it is not divisible by 2.
(iii) p: A triangle is an equilateral triangle. q: All three sides of a triangle are equal.
In the bi conditional statement, we use if and only if.
p: A triangle is an equilateral triangle
q: All three sides of a triangle are equal.
Then,
p ↔ q = A triangle is an equilateral triangle if and only if all three sides of triangle are equal.