Determine the truth value for each simple statement. Then, using the truth values, give the truth value of the compound statement.
-One dollar has the same value as 5 dimes and one quarter has the same value as 25 pennies, or one dime has the same value as 5 nickels.

Question

Quizplus · Accepted Answer

Each simple statement is true: a dollar is equal to 100 cents, the same as 5 dimes (50 cents) plus 2 quarters (50 cents); a quarter is equal to 25 pennies (25 cents); and a dime is equal to 10 cents, the same as 5 nickels (5x2=10 cents). Therefore, the compound statement is true because it is a disjunction (an "or" statement) where at least one of the simple statements is true.

Determine the Truth Value for Each Simple Statement