Write the following statement in symbolic form. Then use the information in the

Question

Write the following statement in symbolic form. Then use the information in the graph to the right to determine the truth value of each compound statement. Define p as "there was an increase in the percentage who believed in God, " q as "there was a decrease in the percentage who believed in Heaven, " and r as "there was an increase in the percentage who believed in the devil." If there was an increase in the percentage who believed in God and a decrease in the percentage who believed in Heaven, then there was an increase in the percentage who believed in the devil. Write the statement in symbolic form. Choose the correct answer below. A. (p logicaland q) doubleheadarrow r B. (p logicalor q) doubleheadarrow r C. (p logicalor q) rightarrow r D. (p logicaland q) rightarrow r Determine the truth value of the statement. Choose the correct answer below A. True B. False

Explanation / Answer

p: There was an increase in the percentage who believed in God.

q: There was a decrease in the percentage who believed in Heaven.

r: There was an increase in the percentage who believed in the devil.

"If there was an increase in the percentage who believed in God and a decrease in the percentage who believed in Heaven, then there was an increase in the percentage who believed in the devil."

The statement can be written in symbolic form as (p ^ q) -> r.

From the graph we see that there was a decrease in the percentage who believed in God, Heaven and the devil.

Thus the truth values for p,q and r are F, T and F respectively.

Thus the truth value of the statement is

(F ^ T) -> F

= F -> F

= True.

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