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.
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.

Solution:

(i) We use if and only if, in the bi conditional statement.

p: The unit digit of an integer is zero.

q: It is divisible by 5.

Therefore,

p\leftrightarrow q = Unit digit of an integer is zero if and only if it’s divisible by 5.

Solution:

(ii) We use if and only if, in the bi conditional statement.

p: A natural number n is odd.

q : Natural number n isn’t divisible by 2.

Therefore,

p\leftrightarrow q = A natural number is odd if and only if it isn’t divisible by 2.