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# 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

Latika Leekha
7 years ago
The given statements are
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The staement R is Suman is honest and hence Suman is dishonest would be the negation of the statement R i.e. ~R.
The and operator is represented by the symbol $\Lambda$.
Hence the statement Suman is brilliant and dishonest cab be represnted as
P$\Lambda$~R
Now the required statement can be written as ~ (P$\Lambda$~R) $\leftrightarrow$ Q.
Thanks & Regards
Latika Leekha