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Sets, Relations and Function - JEE Mathematics question (JEE Main 2017 (Online) 8th April)

JEE Main 2017 (Online) 8th AprilQuestion 1
The proposition $(\sim p)\vee(p\wedge\sim q)$ is equivalent to :
Sets, Relations and Function
Options for question 1, choose one

Solution

$(\sim p)\vee(p\wedge\sim q)=(\sim p\vee p)\wedge(\sim p\vee\sim q)=\sim p\vee\sim q\equiv p\to\sim q$.

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