Question
Mathematics Question on mathematical reasoning
The negation of (p∨∼q)∧q is
A
(∼p∨q)∧∼q
B
(p∧∼q)∨q
C
(∼p∧q)∨∼q
D
(p∧∼q)∨∼q
Answer
(∼p∧q)∨∼q
Explanation
Solution
Answer (c) (∼p∧q)∨∼q
The negation of (p∨∼q)∧q is
(∼p∨q)∧∼q
(p∧∼q)∨q
(∼p∧q)∨∼q
(p∧∼q)∨∼q
(∼p∧q)∨∼q
Answer (c) (∼p∧q)∨∼q