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Joint Entrance Examination
Mathematics
Mathematical Reasoning
Question 17
Question 17 of 103
Easy
MCQ
The proposition \[\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)\] is equivalent to :
A
p \[ \vee \] ~ q
B
p \[ \to \] ~ q
C
p \[ \wedge \] ~ q
D
q \[ \to \] p
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Official solution
\[p \to \, \sim (p \wedge \sim q)\] \[ \equiv p \to ( \sim p \vee q)\] \[ \equiv \, \sim p \vee ( \sim p \vee q)\] \[ \equiv \, \sim p \vee q\]
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