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2.(i) State the converse and contrapositive of the following statement:
(i) p: A positive integer is prime only if it has no divisors other than 1 and itself.
Answers (1)
The given statement as "if-then" statement is: If a positive integer is prime, then it has no divisors other than 1 and itself.
The converse of the statement is:
If a positive integer has no divisors other than 1 and itself, then it is a prime.
The contrapositive of the statement is:
If positive integer has divisors other than 1 and itself then it is not prime.
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