Question
Mathematics Question on mathematical reasoning
The negative of the statement ∼p∧(p∨q) is
A
∼p∨q
B
p∨∼q
C
∼p∧q
D
p∧∼q
Answer
p∨∼q
Explanation
Solution
∼(∼p∧(p∨q)) p∨(∼p∧∼q) t(pv∼p)∧(pv∼q) p∨∼q
The negative of the statement ∼p∧(p∨q) is
∼p∨q
p∨∼q
∼p∧q
p∧∼q
p∨∼q
∼(∼p∧(p∨q)) p∨(∼p∧∼q) t(pv∼p)∧(pv∼q) p∨∼q