Question

If $p$ is any statement, $t$ and $c$ are a tautology and a contradiction respectively, then which of the following is INCORRECT?

• A. $p\wedge t\equiv p$
• B. $p\wedge c\equiv c$
• C. $p\vee t\equiv p$
• D. $p\vee c\equiv p$

Answer 1

The correct option is C $p\vee t\equiv p$

Truth table,

$p$	$p\wedge t$	$p\wedge c$	$p\vee t$	$p\vee c$
T	T	F	T	T
F	F	F	T	F

Hence option 'C' is the correct choice.