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Grade 12Algebra

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

sudhanshu

12 Years agoGrade 12

1 Answer

Latika Leekha

12 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

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