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Question
The statement p→(q→p) is equivalent to ______.
Options
p→(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:
Using truth table
| p | q | p ∨ q | p→(p→q) | p→(p ∨ q) |
| T | T | T | T | T |
| T | F | T | T | T |
| F | T | T | T | T |
| F | F | F | T | T |
From table
p→(q→p) is equivalent to p→(p ∨ q)
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