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Prove that the following biconditional c...

Prove that the following biconditional compound statement is true :
The integer x is even if and only if `x^(2)` is even .

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CHHAYA PUBLICATION-MATHEMATICAL REASONING -EXERCISE ( Long Answer Type Questions )
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  2. Examine the validity of the following compound statements : 180 is...

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  5. Check whether the follwing compound statements is true or false . I...

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  6. Check whether the following statement are true or not: p : If x , y ar...

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  7. prove that the compound statement " if x and y are odd integers , then...

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  8. prove that the compound statement " if x and y are odd integers , then...

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  9. prove that the compound statement " if x and y are odd ntegers , then ...

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  10. Using contrapositive method show that the following compound statement...

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  11. Check the validity of the following compound statement using (i) di...

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  12. Prove that the following biconditional compound statement is true : ...

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  13. Check the validity of the following biconditional statement :

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  14. Check the validity of the following biconditional statement :

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  15. Prove that sqrt(5) is irrational (use the method of contradiction )

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  16. Use contradiction method to show the validity of the following stateme...

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  17. Check the validity of the follwing statement using contradiction metho...

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  18. By giving a counter example show that the following statement is false...

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  19. Prove that the statement "If all the the angles of a triangle are equa...

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  20. By giving a counter example show that the following compound statement...

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