Question
Mathematics Question on mathematical reasoning
Let the operations ∗,⊙∈∧,∨. If (p∗q)⊙(p⊙∼q) is a tautology, then the ordered pair (∗,⊙) is :
A
(∨,∧)
B
(∨,∨)
C
(∧,∧)
D
(∧,∨)
Answer
(∨,∨)
Explanation
Solution
The correct option is (B): (∨,∨)
Let the operations ∗,⊙∈∧,∨. If (p∗q)⊙(p⊙∼q) is a tautology, then the ordered pair (∗,⊙) is :
(∨,∧)
(∨,∨)
(∧,∧)
(∧,∨)
(∨,∨)
The correct option is (B): (∨,∨)