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Correct the error in the statement (3) by rewriting it so it follows from statements...

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novjb | (Level 1) Salutatorian

Posted June 21, 2013 at 12:46 AM via web

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Correct the error in the statement (3) by rewriting it so it follows from statements (1) and (2).

(1) If Janet finishes her homework, then she will watch TV.                              

(2) If Janet watches TV, then she will eat pretzels.

(3) If Janet ate pretzels, then she finished her homework.

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ishpiro | Teacher | (Level 2) Associate Educator

Posted June 21, 2013 at 2:15 AM (Answer #1)

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(1) and (2) are If - then statements:

p: Janet finishes her homework

q: Janet watches TV

r: Janet eats pretzels

(1) If p, then q. Symbolically, `p->q`

(2) If q , then r. Symbolically, `q->r`

Combining (1) and (2), we get `p->q->r` , or `p->r` .

This transates to

If Janet finishes her homework, she will eat pretzels.

(In the given statement (3) consequent and antecedent are reversed.)

 

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