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By giving a counter example, show that the following statement is not true:- q: The equation `x^2 -1 = 0` does not have a root lying between 0 and 2.

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PSEB-MATHEMATICAL REASONING-EXERCISE
  1. Show that the following statement is true by the method of contraposit...

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  2. By giving a counter example, show that the following statement is not ...

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  3. By giving a counter example, show that the following statement is not ...

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  4. Is the following statement is true or false? In each case give a valid...

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  5. Is the following statement is true or false? In each case give a valid...

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  6. Is the following statement is true or false? In each case give a valid...

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  7. Is the following statement is true or false? In each case give a valid...

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  8. Is the following statement is true or false? In each case give a valid...

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  9. Write the negation of the following statement:- p: For every positive...

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  10. Write the negation of the following statement:- q: All cats scratch.

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  11. Write the negation of the following statement:- r: For every real num...

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  12. Write the negation of the following statement:- s: There exists a num...

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  13. State the converse and contrapositive of the following statement : p: ...

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  14. State the converse and contrapositive of the following statement : q: ...

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  15. State the converse and contrapositive of the following statement : r: ...

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  16. Write the statement in the form “if p, then q" :- p: It is necessary t...

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  17. Write the statement in the form “if p, then q" :- q: There is traffic ...

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  18. Write the statement in the form “if p, then q" :- r: You can access th...

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  19. Rewrite the following statement in the form"p if and only if q":- p: I...

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