Question 2 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 than 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.
Class X1 - Maths -Mathematical Reasoning Page 345
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(i) contrapositive statement : if a positive integer has divisor other than 1 and itself , then it is not prime .
converse : if a positive integer has no divisor than 1 or itself , then it is a prime .
(ii) contrapositive statement : I do not go to beach whenever it's not a sunny day .
converse statement : if it is a sunny day, then i go to beach .
(iii) contrapositive statement : if you do not feel thirsty , then it is not hot outside .
converse statement : if you feel thirsty , then it is hot outside .
converse : if a positive integer has no divisor than 1 or itself , then it is a prime .
(ii) contrapositive statement : I do not go to beach whenever it's not a sunny day .
converse statement : if it is a sunny day, then i go to beach .
(iii) contrapositive statement : if you do not feel thirsty , then it is not hot outside .
converse statement : if you feel thirsty , then it is hot outside .
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