Mathematical Logic And Boolean Algebra Question 95
Question: If p is false and q is true, then
Options:
A) $ p\wedge q $ is true
B) $ p\vee \tilde{\ }q $ is true
C) $ q\wedge p $ is true
D) $ p\Rightarrow q $ is true
Show Answer
Answer:
Correct Answer: D
Solution:
[d] When p is false and q is true, then $ p\wedge q $ is false, $ p\vee \tilde{\ }q $ is false. ( $ \because $ both p and $ \tilde{\ }q $ are false) and $ q\Rightarrow p $ is also false, only $ p\Rightarrow q $ is true.