Q97 / 150 · MHT CET 2009 · Mathematics

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

  • Correct answer
    A
    $p$
  • B
    $T$
  • C
    $\bar{F}$
  • D
    $q$

Solution

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

Hence, the correct answer is option: 'A'.

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