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Use proof by contradition to prove that if for an integer `a, a^2` is divisible by 3, then a is divisible by 3.

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MBD-Appendix - A1-Exercise
  1. In each of the following questions, there are two statements. State if...

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  2. In each of the following questions, there are two statements. State if...

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  3. Write the converses of the following statements. : If it is hot in Tok...

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  4. Write the converses of the following statements. : If Shalini is hungr...

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  5. Write the converses of the following statements. : If Jaswant has scho...

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  6. Write the converses of the following statements. : If a plant has flow...

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  7. Write the converses of the following statements. : If an animal is a c...

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  8. Write the converses of the following statements. Also, decide in each ...

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  9. Write the converses of the following statements. Also, devide in each ...

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  10. Write the converses of the following statements. Also, devide in each ...

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  11. Write the converses of the following statements. Also, devide in each ...

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  12. Write the converses of the following statements. Also, devide in each ...

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  13. Write the converses of the following statements. Also, devide in each ...

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  14. Write the converses of the following statements. Also, decide in each ...

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  15. Suppose a + b = c + d, and a < c. Use proof by contradiction to show b...

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  16. Let r be a rational number and x be an irrational number. Use proof by...

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  17. Use proof by contradition to prove that if for an integer a, a^2 is ev...

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  18. Use proof by contradition to prove that if for an integer a, a^2 is di...

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  19. Use proof by contradition to show that there is no value of n for whic...

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  20. Prove by contradition that two lines in a plane cannot intersect in mo...

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