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Express the following statements in symb...

Express the following statements in symbolic form :
(1) The drug is effective though it has side effects.
(2) Either we play football or go cycling.
(3) Two triangles have equal areas only if they are similar.

Text Solution

Verified by Experts

The correct Answer is:
(1) `p^^q` (2) `pvvq` (3) `ptoq`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-MATHEMATICAL LOGIC-EXAMPLES FOR PRACTICE 2 OR 3 MARKS EACH
  1. State sentences are statements. In case of statement, write down the t...

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  2. Let p denote 'price' increases' and q denote 'demand falls'. Express t...

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  3. Express the following statements in symbolic form : (1) The drug is ...

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  4. Write the following compound statements symbolically, assuming the fir...

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  5. Assuming p and q as given, write the verbal statement for the followin...

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  6. If p : girls are haapy, q : girls are playing, express the following s...

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  7. Translate the given statements in symbolic form and determine the trut...

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  8. Prepare truth tables for the following statements : (1) pto(qto""p)...

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  9. If the statement p and q have truth values T and F respectively, fing ...

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  10. If p, q, r are the statements with truth values T, F, T respectively, ...

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  11. If the statement p and q are true and the statements r and s are false...

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  12. Write the converse cand contrapositive of the following statement : ...

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  13. Write converse, inverse and contrapositive of the following conditiona...

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  14. Wirte the contrapositive of the inverse of the following statement : ...

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  15. If A={4,5,7,9} determine the truth value of each of the following stat...

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  16. Use quantifiers to convert each of the following open sentences define...

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  17. Write the negations of the following statements : (1) Some continuou...

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  18. Write the negation of each of the following statements and write equiv...

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  19. Write the dual of each of the following : (1) pvv(q^^r) (2) (p^^q)vv...

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  20. Write the dual statement of each of the following compound statements ...

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