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Determine whether of the following two a...

Determine whether of the following two arguments is valid ?
Given : If you work hard, then you pass the course.
Given : You did not pass the course.
Conclusion : You did not work hard .

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ICSE-MATHEMATICAL REASONING-EXERCISE 27 (F)
  1. Consider the statements: p : You will work hard q : You will becom...

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  2. Consider the statements: p : You will work hard q : You will becom...

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  3. Consider the statements: p : You will work hard q : You will becom...

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  4. Compare the following statements : p, only if q.

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  5. Compare the following statements : p implies q

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  6. Compare the following statements : p is a sufficient condition for q...

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  7. Compare the following statements : q is a necessary condition for p.

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  8. Compare the following statements : p, only if q.

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  9. Construct truth tables for the following : (p implies q)^^(qimplies...

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  10. Construct truth tables for each of the following : qimplies [(~p)vv...

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  11. Construct truth tables for each of the following : [(~p)^^ q]implies...

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  12. Write the converse, inverse and contrapositive for the statement (~p)i...

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  13. Write the inverse of the converse of p implies q.

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  14. Write the converse of the inverse of p implies q.

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  15. Write the contrapositive of the inverse of p implies q .

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  16. Write the converse of the contrapositive of p implies q .

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  17. Write the contrapositive of the contrapositive of p implies q.

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  18. What is the relationship of each resulting condition inverse , contatp...

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  19. determine whether of the following two arguments is valid ? Given : ...

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  20. Determine whether of the following two arguments is valid ? Given : ...

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