Mathematical Logic And Boolean Algebra Question 23
Question: If p is true and q is false, then which of the following statements is not true?
Options:
A) $ p\vee q $
B) $ p\Rightarrow q $
C) $ p\wedge (\tilde{\ }q) $
D) $ p\Rightarrow p $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] When p is true and q is false, then $ p\vee q $ is true, $ q\Rightarrow p $ is true and $ p\wedge (\sim q) $ is true. ( $ \therefore $ both p and $ \sim q $ are true) Here, $ p\Rightarrow q $ is not true as a true statement cannot imply a false statement.
BETA
