Question

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

• 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 identify for $v)$