Question 835878: Determine the truth value of: Any n that is a positive integer and is a prime number, implies => n is and odd number, or n is equal to 2.
Write the negation, converse, inverse, and contrapositive of this implication, and determine their
truth values.
This is a discrete mathematics word problem.
Answer by Fombitz(32388)   (Show Source):
You can put this solution on YOUR website! A - n is a prime number (all primes are positive)
B - n is an odd number
C - n equals 2
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Conditional : If A then B or C.
Negation : If A then -B or -C.
Converse : If B or C, then A.
Inverse : If -A then -B or -C.
Contrapositive : If -B or -C, then -A.
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-A - n is not a prime number
-B - n is not an odd number or n is an even number
-C - n does not equal 2
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Work through the conditionals and determine the truth values.
I'll do the first one.
If n is prime, then n is either odd or equals 2. TRUE, if it was even, then you could divide by 2 and it wouldn't be prime.
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