Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $C⋅EE⋅C\frac { C \cdot E } { E \cdot C }$

A) C: T E: T
B) C: T E: F
C) C: F E: T
D) C: F E: F
E) None-the argument is valid.

Question

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid?

C⋅EE⋅C\frac { C \cdot E } { E \cdot C }

A) C: T E: T
B) C: T E: F
C) C: F E: T
D) C: F E: F
E) None-the argument is valid.

Prashant Kumar · Accepted Answer

Final Answer : E, Explanation :   The argument is valid because the conclusion   E ⋅ C E \cdot C E ⋅ C   follows logically from the premise   C ⋅ E C \cdot E C ⋅ E   in all possible truth assignments. The order of conjunction (  ⋅ \cdot ⋅  ) does not affect the truth value of the statements; thus, if   C ⋅ E C \cdot E C ⋅ E   is true, then   E ⋅ C E \cdot C E ⋅ C   is also true, and vice versa.

Use a truth table to answer the following question.Which, if any, set of truth values assigned to the atomic sentences shows that the following argument is invalid? $C⋅EE⋅C\frac { C \cdot E } { E \cdot C }$

A) C: T E: T
B) C: T E: F
C) C: F E: T
D) C: F E: F
E) None-the argument is valid.

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