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Consider the statements: p : You will ...

Consider the statements:
p : You will work hard q : You will become wealthy.
Translate each of the symbolic statements into an English sentence.
(~q)implies(~p)

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The correct Answer is:
To translate the symbolic statement \((\sim q) \implies (\sim p)\) into an English sentence, we will follow these steps: 1. **Identify the statements**: - \(p\): You will work hard. - \(q\): You will become wealthy. 2. **Negate the statements**: - \(\sim q\): You will not become wealthy. - \(\sim p\): You will not work hard. 3. **Translate the implication**: - The expression \((\sim q) \implies (\sim p)\) translates to "If you will not become wealthy, then you will not work hard." Thus, the final English sentence for the symbolic statement \((\sim q) \implies (\sim p)\) is: "If you will not become wealthy, then you will 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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