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Question
The statement p→(q→p) is equivalent to ______.
Options
p→q
p→(p ∨ q)
p→(p→q)
p→(p ∧ q)
MCQ
Fill in the Blanks
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Solution
The statement p→(q→p) is equivalent to p→(p ∨ q).
Explanation:
| q | p | q→p | p→(q→p) | p ∨ q | p→(p→q) |
| T | T | T | T | T | T |
| T | F | F | T | T | T |
| F | T | T | T | T | T |
| F | F | T | T | F | T |
Since truth value of p→(q→p) and p→(p ∨ q) are same, hence p→(q→p) is equivalent to p→(p ∨ q).
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