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What can be correctly said of the following argument? [Leave the parenthetical p

ID: 3148965 • Letter: W

Question

What can be correctly said of the following argument?  [Leave the parenthetical part out of your symbolization.]

You correct the errors on your credit report in a timely fashion only if you don't pay a higher rate on loans than you should.  [Even though credit reporting agencies are legally obligated to correct your report when notified of documented errors,] it is impossible to correct errors on a credit report in a timely fashion.  So you might be paying a higher rate than you should.

The argument is valid.

The argument Invalid.

The validity of the argument depends on background knowledge.

The argument is correlatively over-stipulated.

a.

The argument is valid.

b.

The argument Invalid.

c.

The validity of the argument depends on background knowledge.

d.

The argument is correlatively over-stipulated.

Explanation / Answer

Let p denote correct the errors on your credit report in a timely fashion.

Let q denote you pay a higher rate on loans than you should.

The given statements are

p -> ~q

~p

By Modus tollens, the conclusion is

q

This translated to you pay a higher rate than you should.

Therefore, the argument is valid.

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