Mathematical Logic And Boolean Algebra Question 50
Question: The statement $ p\to (q\to p) $ is equivalent to
Options:
A) $ p\to (p\to q) $
B) $ p\to (p\vee q) $
C) $ p\to (p\wedge q) $
D) $ p\to (prightarrow q) $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Let us make the truth table for the given statements, as follows: $ p $ $ q $ $ p\vee q $ $ q\to p $ $ p\to $ $ (q\to p) $ $ p\to $ $ (p\vee q) $ T T T T T T T F T T T T F T T F T T F F F T T T From table we observe $ p\to (q\to p) $ is equivalent to $ p\to (p\vee q) $
BETA
