Question

Which of the following is a tautology?

• A. $(\wedge (⟶\left)\right)⟶$
• B. $\wedge (\vee )$
• C. $(\to (\wedge (\to ))$
• D. $\vee (\wedge )$

Answer 1

The correct option is A

$(\wedge (⟶\left)\right)⟶$

Explanation for the correct option:

$(\wedge (⟶\left)\right)⟶$

$=(\wedge (\backsim \vee \left)\right)⟶$

$=\left[\right(\wedge ~)\vee (\wedge \left)\right]⟶$

$=\wedge ⟶$

$=~(\wedge )\vee$

$=~\vee ~\vee$

$=T$

Hence, Option ‘A’ is Correct.