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Mathematical Logic — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMathematical Logic2 Marks
MCQ
The statement pattern $(\sim p \wedge q)$ is logically equivalent to
  • A
    $(p \vee q) \vee \sim p$
  • B
    $(p \vee q) \wedge \sim p$
  • C
    $(p \wedge q) \rightarrow p$
  • D
    $(p \vee q) \rightarrow p$
✓

Answer


$
\begin{aligned}
& \text { (b) : }(p \vee q) \wedge \sim p \\
& \equiv(p \wedge \sim p) \vee(q \wedge \sim p) \\
& \equiv F \vee(q \wedge \sim p) \equiv q \wedge \sim p \equiv \sim p \wedge q
\end{aligned}
$

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