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Algebra - Truth Table

Choose the correct conclusion and why.

Choose the one alternate that best completes the statement or answers the question.
1. As a special promotion, the Green Thumb organic foods chain said that everyone who came to one of their stores between noon and 1pm on January 4 would be offered a free loaf of 23-grain bread. They did not keep this promise . Therefore, between noon and 1pm on January 4:

a. No one who came to a Green Thumb store was offered a free loaf of 23 -grain bread.
b. At least one person who came to a Green Thumb store was not offered a free loaf of 23 -grain bread.
c. At least one person who came to a Green Thumb store was offered a free loaf of 23 -grain bread.
d. The Green Thumb chain ran out of 23 -grain bread.

2. In a statement to the press, a representative of a tobacco company stated " In our years of research, we never discovered a link between cancer and smoking" That statement was later found to be false. Therefore, in their years of research:

a. The tobacco company sometimes did not discover a link between cancer and smoking.
b. The tobacco company sometimes discovered a link between cancer and smoking.
c. The tobacco company never discovered a link between cancer and smoking
d. The tobacco company always discovered a link between cancer and smoking.

Translate the argument into symbolic form . Then use a truth table to determine whether the argument is valid or invalid. ( Ignore differences in past , present , and future tense)

3. If Emilio and Rodrigo both cook, then the meal is tasty.

Emilio cooked and the meal was not tasty.
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.
. . Rodrigo did not cook

Solution Preview

(1) Option (b) is the answer because if not everyone was given the free bread, it means there was at least one person who

was not given the bread.

(2) Option (b) is the answer because if the statement was later found to be false, that means at ...

Solution Summary

The expert examines algebraic truth tables. Neat, step-by-step solutions are provided.

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