What are the inverse of the conditional statement “ A positive integer is a composite only if it has divisors other than 1 and itself.”
A. “A positive integer is a composite if it has divisors other than 1 and itself.”
B. “If a positive integer has no divisors other than 1 and itself, then it is not composite.”
C. “If a positive integer is not composite, then it has no divisors other than 1 and itself.”
D. None of the mentioned
Answer:C
What are the inverse of the conditional statement “ A positive integer is a composite only if it has divisors other than 1 and itself.”
A. “A positive integer is a composite if it has divisors other than 1 and itself.” B. “If a positive integer has no divisors other than 1 and itself, then it is not composite.” C. “If a positive integer is not composite, then it has no divisors other than 1 and itself.” D. None of the mentioned
Explanation: p only if q has inverse ¬p → ¬q.