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Use quantifiers to convert each of the f...

Use quantifiers to convert each of the following open sentences defined on N, into a true statement :
(i) `x^(2)=25` (ii) `3x+1le5` (iii) `x^(2)+1le5`

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The correct Answer is:
(i) `EEx""inN,` such that `x^(2)=25(x=5)`
(ii) `EEx""inN` such that `3x+1le5(x=1)`
(iii) `EEx""inN` such that `x^(2)+1le5(x=1,x=2)`.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-MATHEMATICAL LOGIC-EXAMPLES FOR PRACTICE 2 OR 3 MARKS EACH
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  4. Write the following compound statements symbolically, assuming the fir...

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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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