State the converse and contrapositive of each of the following statements :
(i) p : A positive integer is prime only if it has no divisors other then 1 and itself.
(ii) q : I go to a beach whenever it is a sunny day.
(iii) r : If it is hot outside, then you feel thirsty.
State the converse and contrapositive of each of the following statements :
(i) p : A positive integer is prime only if it has no divisors other then 1 and itself.
(ii) q : I go to a beach whenever it is a sunny day.
(iii) r : If it is hot outside, then you feel thirsty.
(i) The contrapositive of the given statement is: If a positive integer is not prime, then it has divisors other than 1 and itself.
The converse of the given statement is:
If a positive integer is a prime, then it has no divisors other than 1 and itself.
(ii) The contrapositive of the given statement is:
If I do not go to a beach, then it is not a sunny day.
The converse of the given statement is:
If I go to beach, then it is a sunny day.
(iii) The contrapositive of the given statement is :
If you do not feel thirsty, then it is not hot outside.
The converse of the given statement is :
If you feel thirsty, then it is hot outside.
(i) The contrapositive of the given statement is: If a positive integer is not prime, then it has divisors other than 1 and itself.
The converse of the given statement is:
If a positive integer is a prime, then it has no divisors other than 1 and itself.
(ii) The contrapositive of the given statement is:
If I do not go to a beach, then it is not a sunny day.
The converse of the given statement is:
If I go to beach, then it is a sunny day.
(iii) The contrapositive of the given statement is :
If you do not feel thirsty, then it is not hot outside.
The converse of the given statement is :
If you feel thirsty, then it is hot outside.
