Question
Mathematics Question on mathematical reasoning
The statement (p∧ (-q)) v ((~ p) ∧ q) v ((~q)) is equivalent to
A
(~ p) v (~q)
B
p ∨(~ q)
C
(~p) ∨ q
D
p ∨ q
Answer
(~ p) v (~q)
Explanation
Solution
The correct answer is (A) : (~ p) v (~q)
The statement (p∧ (-q)) v ((~ p) ∧ q) v ((~q)) is equivalent to
(~ p) v (~q)
p ∨(~ q)
(~p) ∨ q
p ∨ q
(~ p) v (~q)
The correct answer is (A) : (~ p) v (~q)