Due on May 6 at 1159 PM POT 9. True or False? Use your knowledge of truth functi

Question

Due on May 6 at 1159 PM POT 9. True or False? Use your knowledge of truth functions and the five propositional logic operators to decermine whether each stacement is true or false. Click on the box next to each true statement. If C Q is false and ~D . E is true, then the bicondtoral (C Q)s (ND . E) ?S false. O If two statements have identical truth values, then the conjunction of those statements must be true. A statement with the form . q is true if either or both p and q is true. in the statement ~(M ? X), the tilde (~) governs the simple statement M. ? If the bionditional (8 P) E(Z. F) ?S false, then 8?P and Z. F are both false. D The tilde () operator can apply only to a simple statement and never to a compound statemelt in A statement with the form p . q is true if and only ifp and q are both true. If8 P is true, then 8 v P must also be true. If K V M is true, then K M must also be true. ? A statement with the form ? q is false if and only if is true and q is false. If A v C is false, and S D is false, then the conditional (A v C) (S D) is true. The horseshoe (D) operator perfectly captures the meaning of every ordinary language conditional statement D The horseshoe () operator (material conditional) does not perfectly capture the meaning of all ordinary language conditional statements. A statement with the form po q is false if and only if p is false and q is false. Statement variables, which are used to represent statement forms, are lowercase letters (p, g,t, s, and so on).

Explanation / Answer

1) True.

There is no information of C,Q,D or E given such that, any of the statement C implies Q or not(D*E) can depend on each other. So one cannot be true iff other is true

2)False

The conjunction will be false when both the statements are false.

3)False

p*q. i.e., p conjunction q is true only when p and q are true.

4)governs??? what does that mean?

5)False

biconditional is false when one statement does not imply the other. When first statement is true and second is false, biconditional still gives false.

6)False

You can apply NOT operation on complex statements using De morgan's Law

7)True

Definition of conjunction

8)true

Since conjunction gives true ifa and only if both statements are true, whereas disjunction gives true when either are true.

9)False

disjunction does not imply anything on the second statement

10)True

from definition of implication

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