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Determine whether each of the following statements is true or false, and explain why.
1. A compound statement is a negation, a conjunction, a disjunction, a conditional, or a biconditional.
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Whether the statement “A compound statement is a negation, a conjunction, a disjunction, a conditional, or a bi conditional” is true or false and explain the reason.
Answer to Problem 1RE
The statement is true.
Explanation of Solution
Definition used:
When one or more simple statements are combined with logical connectives such as and, or, not, and if
Description:
A negation of a true statement is false, and the negation of a false statement is true. In this case the logical connective ‘not’ is being used and hence that statement can be considered as a compound statement.
A conjunction, a disjunction, a conditional, or a bi conditional is also statements that are combined by logical connectives ‘and’, ‘or’, ‘if
Hence, these statements are also compound statements.
Therefore, the given statement is true.
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Chapter 6 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
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