p → q is logically equivalent to ________ans.¬p ∧ qp ∨ ¬q¬p ∨ q¬p ∨ ¬q Previous Marked for Review Next
Question
p → q is logically equivalent to ________
- ans.
- ¬p ∧ q
- p ∨ ¬q
- ¬p ∨ q
- ¬p ∨ ¬q
Solution
The statement "p → q" is logically equivalent to "¬p ∨ q". This is known as the material implication in logic. Here's the step by step explanation:
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"p → q" is a logical statement saying "if p then q".
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This can be interpreted as "either p is false, or q is true".
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In logical notation, "p is false" is written as "¬p" and "or" is written as "∨".
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So, "either p is false, or q is true" is written as "¬p ∨ q".
Therefore, "p → q" is logically equivalent to "¬p ∨ q".
Similar Questions
p → q is logically equivalent to ________ans.¬p ∧ qp ∨ ¬q¬p ∨ q¬p ∨ ¬q Previous Marked for Review Next
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