. If A is true and B is true, what is the value of ¬A ∨ B?*4 points¬A ∨ B is True¬A ∨ B is False
Question
. If A is true and B is true, what is the value of ¬A ∨ B?*4 points¬A ∨ B is True¬A ∨ B is False
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Solution
The value of ¬A ∨ B is True. Here's why:
- The statement A is True.
- The statement B is True.
- The symbol ¬ represents negation. So, ¬A means "not A". Since A is True, ¬A is False.
- The symbol ∨ represents logical disjunction, which means "or". So, ¬A ∨ B means "not A or B".
- In logic, an "or" statement is True if at least one of its components is True. Since B is True, ¬A ∨ B is True, regardless of the value of ¬A.
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