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For each of the following compound state...

For each of the following compound statements, first identify the corresponding component statements. Then check whether the statements are true or not.
(i)         If a triangle ABC is equilateral, then it is isosceles.
(ii)        If a and b are integers, then ab is a rational number.

Text Solution

Verified by Experts

(i)p: Triangle ABC is equilateral.
q: Triangle ABC is isosceles. True
(ii)p: a and b are integers.
q:ab is rational number. True.
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NCERT-MATHEMATICAL REASONING-SOLVED EXAMPLES
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  3. Write the negation of the following statements.(i) Both the diagonals...

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  4. Write the negation of the following statements and check whether the ...

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  5. Check whether the following sentences are statements. Give reasons fo...

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  6. Write the component statements of the following compound statements a...

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  7. For each of the following statements, determine whether an inclusive ...

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  8. Find the component statements of the following compound statements. (...

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  9. 5 Find the component statements of the following and check whether the...

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  10. Verify by the method of contradiction. p:sqrt(7)is irrational.

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  11. Check whether the following statement is true of false by proving its...

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  12. Cheek whether Or used in the following compound statement is exclusiv...

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  13. By giving a counter example, show that the following statement is fal...

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  14. For each of the following compound statements, first identify the cor...

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  15. Write the converse of the following statements.(i) If a number n is e...

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  16. Check whether the following statement is true or not. If x, y in Zar...

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  17. Given below are two pairs of statements. Combine these two statements...

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  18. For the given statements identify the necessary and sufficient condit...

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  19. Using the words necessary and sufficient rewrite the statement The in...

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  20. Write the negation of the following statements:(i) p: For every real ...

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