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If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative [#permalink]
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If \(A < 0\), \(10 < B < 30\), and \(50 < C < 80\), what is the relative order of the reciprocals \(\frac{1}{A}\), \(\frac{1}{B}\), and \(\frac{1}{C}\) ?

A. \(\frac{1}{A} < \frac{1}{B} < \frac{1}{C}\)

B. \(\frac{1}{A} < \frac{1}{C} < \frac{1}{B}\)

C. \(\frac{1}{C} < \frac{1}{A} < \frac{1}{B}\)

D. \(\frac{1}{C} < \frac{1}{B} < \frac{1}{A}\)

E. \(\frac{1}{B} < \frac{1}{C}< \frac{1}{A}\)
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Re: If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative [#permalink]
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Carcass wrote:
If \(A < 0\), \(10 < B < 30\), and \(50 < C < 80\), what is the relative order of the reciprocals \(\frac{1}{A}\), \(\frac{1}{B}\), and \(\frac{1}{C}\) ?

A. \(\frac{1}{A} < \frac{1}{B} < \frac{1}{C}\)

B. \(\frac{1}{A} < \frac{1}{C} < \frac{1}{B}\)

C. \(\frac{1}{C} < \frac{1}{A} < \frac{1}{B}\)

D. \(\frac{1}{C} < \frac{1}{B} < \frac{1}{A}\)

E. \(\frac{1}{B} < \frac{1}{C}< \frac{1}{A}\)



remember the rule
1) if A and B are positive and greater than 1..
A>B means \(\frac{1}{A} < \frac{1}{B}\)

So 1/C < 1/B as C>B
Now A is negative and it's reciprocal will also be negative and thus 1/A will be the least.
B. \(\frac{1}{A} < \frac{1}{C} < \frac{1}{B}\)

B
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Re: If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative [#permalink]
Carcass wrote:
If \(A < 0\), \(10 < B < 30\), and \(50 < C < 80\), what is the relative order of the reciprocals \(\frac{1}{A}\), \(\frac{1}{B}\), and \(\frac{1}{C}\) ?

A. \(\frac{1}{A} < \frac{1}{B} < \frac{1}{C}\)

B. \(\frac{1}{A} < \frac{1}{C} < \frac{1}{B}\)

C. \(\frac{1}{C} < \frac{1}{A} < \frac{1}{B}\)

D. \(\frac{1}{C} < \frac{1}{B} < \frac{1}{A}\)

E. \(\frac{1}{B} < \frac{1}{C}< \frac{1}{A}\)



A is negative*****

So 1/A is lowest among 3.

10<B<30. 1/B = 1/35......suppose.

50 < C < 80 . 1/C = 1/55.

Now compare ....

1/B> 1/C> 1/A.

Option B.
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Re: If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative [#permalink]
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