P = seven is an odd number and Q = five is an even number  1.  Which statement is true? (A) P and Q (B) P or Q (C) P or else not Q (D) if P then Q  2.  Which statement is true? (A) Q if and only if not P (B) P or else not Q (C) Q or not P (D) Q and P  3.  Which statement is false? (A)Q and P (B) P or not Q

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...
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 Let P = seven is an odd number and Q = five is an even number 

1.  Which statement is true?
(A) P and Q

(B) P or Q

(C) P or else not Q

(D) if P then Q 

2.  Which statement is true?
(A) Q if and only if not P

(B) P or else not Q

(C) Q or not P

(D) Q and P 

3.  Which statement is false?
(A)Q and P

(B) P or not Q

(C) Q or else P

(D) if Q then P 

4.  Which statement is false?
(A) Q if and only if not P

(B) if P then not Q

(C) P or else not Q

(D) P or not Q 

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