Question
What Is the negation of the following statement: "n Is prime and n is odd or n is 2." n is composite and n is odd or n Is 2. n is prime and n is odd or n Is 2. n is composite or n is odd or n is 2. n is composite and n is even but not 2. n is prime and n is even but not 2. n is prime or n is odd or n is 2. n is composite or n is even but not 2. n is prime or n is even but not 2. What is the negation of the following statement: "P is a square or P is a rectangle." P is a square and P is a rectangle. P is a square or P is a rectangle. P is not a square or P is not a rectangle. P is a square and P is not a rectangle. P is not a square and P is a rectangle. P is a square or P is not a rectangle. P is not a square or P is a rectangle. P is not a square and P is not a rectangle. What is the converse of the following: "If P is a square then P is a rectangle." If P is a square then P is not a rectangle. If P is a rectangle then P is not a square. If P is not a rectangle then P is not a square. If P is not a square then P is not a rectangle. If P is a square then P is a rectangle. If P is a rectangle then P Is a square.
Explanation / Answer
:Solution:
~(AND) is OR
and ~(OR) is AND
Solution1):F:n is prime or n is odd or n is 2
Solution2):A: P is a square and P is a rectangle.
In implication we have following
Solution3)F : If P is a rectangle then P is a square
Statement If p, then q Converse If q, then p Inverse If not p, then not q Contrapositive If not q, then not p