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Write the negation of the compound propo...

Write the negation of the compound propostion . "If the examination is difficult, then I shall pass if I study hard".

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p: examination is difficult
q: I Shall pass,
r: I study hard
Given result is : `p to ( r to q) `
Now, `~ ( r to q) -=r ^^~q`
`:. ~ (p to (r to q) ) -= p ^^(r ^^~q)`
Therefore, required negation is , " The examination is difficult and I study hard but I shall not pass"
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