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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

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

Grade:12

1 Answers

Latika Leekha
askIITians Faculty 165 Points
8 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
askIITians Faculty

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