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Use quantifiers to convert the given ope...

Use quantifiers to convert the given open sentence defined on N into a true statement
(a) `n^(2) ge 1`
(b) `3x - 4 lt 9`
(c ) `Y + 4 gt 6`

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The correct Answer is:
(a) `AA n epsilon N, n^(2) ge 1` is a true statement
(b) `EE x epsilon N` such that `3x - 4 lt 9` is a true statement
(c) `EE y epsilon N` such that `y + 4 gt 6` is a true statement
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-MATHEMATICAL LOGIC
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  2. Attempt the following State the truth value of sqrt(3) is not an irr...

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  3. Attempt the following State the truth value of (p vv ~p)

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  4. Attempt the following State the truth value of (p ^^ ~p)

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  7. Attempt the following Write the converse and contrapositive of the f...

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  8. Without using truth table show that ~(p vvq)vv(~p^^q)-=~p

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  9. Write the negation of the statement "An angle is a right angle if and ...

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  10. Answer the following questions Write the following statements in sym...

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  12. Answer the following questions Examine whether the statement pattern...

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  13. Using truth table prove that ~p ^^ q -=(p vv q) ^^ ~p

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  14. Write the dual of the following 13 is prime number and India is a de...

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  15. Answer the following questions Write the converse, inverse and contr...

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  16. Answer the following questions Examine whether the statement pattern...

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  17. Answer the following questions Using truth table prove that p vv (q ...

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  18. Answer the following questions Without using truth table show that ...

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  19. With proper justification state the negation of (p to q) vee (~q to ...

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  20. Answer the following questions Prepare truth table for (p ^^ q) vv ~...

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