(A Ɔ B) v (-B v (A Ɔ ~ B))

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Build truth-tables for the following wff:

 

**Logical Expression:**

This image contains a logical expression that can be described as follows:

(A ⊃ B) ∨ (~B ∨ (A ⊃ ~B))

**Explanation:**

- **A ⊃ B**: This is a logical implication, meaning "if A, then B."
- **∨**: This symbol represents logical disjunction, meaning "or."
- **~B**: This represents the negation of B, meaning "not B."
- **A ⊃ ~B**: This is another logical implication, meaning "if A, then not B."

The expression combines these elements to form a complex statement using implications, negation, and disjunction.

Such expressions are often analyzed in the study of logic to understand propositions, truth values, and logical arguments.
Transcribed Image Text:**Logical Expression:** This image contains a logical expression that can be described as follows: (A ⊃ B) ∨ (~B ∨ (A ⊃ ~B)) **Explanation:** - **A ⊃ B**: This is a logical implication, meaning "if A, then B." - **∨**: This symbol represents logical disjunction, meaning "or." - **~B**: This represents the negation of B, meaning "not B." - **A ⊃ ~B**: This is another logical implication, meaning "if A, then not B." The expression combines these elements to form a complex statement using implications, negation, and disjunction. Such expressions are often analyzed in the study of logic to understand propositions, truth values, and logical arguments.
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