Consider the following statements P : Suman is brilliant Q : Suman is rich R : Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as :

Engineering

Mathematics

Logical Operator Reasoning Conditional and Bi Conditional

Question

Consider the following statements

P : Suman is brilliant

Q : Suman is rich

R : Suman is honest

The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as :

~ (P Ù ~ R) Ù Q

~ (Q « (P Ù ~ R))

~P Ù (Q « R)

~ Q « ~P Ù R

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Negation of (P Ù ~ R) « Q is ~ ((PÙ ~ R) « Q)

It may also be written as ~ (Q « (PÙ ~ R))

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