Question

Simplify $\left(p\vee q\right)\wedge \left(p\vee \sim q\right)$

• A. $p$
• B. $T$
• C. $F$
• D. $q$

Answer 1

Answer: (A)

$(p\vee q)\wedge (p\vee \sim q)$
$=p\vee (q\wedge \sim q)$ (distributive law)
$=p\vee 0$(complement law)
$=p(0$ is indentity for $v)$