Question
Mathematics Question on mathematical reasoning
If c denotes the contradiction then dual of the compound statement ∼p∧(q∨c) is
A
∼p∨(q∧t)
B
∼p∧(q∨t)
C
p∨(∼q∨t)
D
∼p∨(q∧c)
Answer
∼p∨(q∧t)
Explanation
Solution
Answer (a) ∼p∨(q∧t)
If c denotes the contradiction then dual of the compound statement ∼p∧(q∨c) is
∼p∨(q∧t)
∼p∧(q∨t)
p∨(∼q∨t)
∼p∨(q∧c)
∼p∨(q∧t)
Answer (a) ∼p∨(q∧t)