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# If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of

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If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of  [#permalink]

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20 Nov 2017, 12:07
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If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of the reciprocals 1/A, 1/B, and 1/C?

A. 1/A < 1/B < 1/C

B. 1/A < 1/C < 1/B

C. 1/C < 1/A < 1/B

D. 1/C < 1/B < 1/A

E. 1/B < 1/C < 1/A

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If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of  [#permalink]

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20 Nov 2017, 12:15
Bunuel wrote:
If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of the reciprocals 1/A, 1/B, and 1/C?

A. 1/A < 1/B < 1/C

B. 1/A < 1/C < 1/B

C. 1/C < 1/A < 1/B

D. 1/C < 1/B < 1/A

E. 1/B < 1/C < 1/A

A < 0, 10 < B < 30, and 50 < C < 80

Let A = -5
Let B = 20
Let C = 70

$$\frac{1}{A}=-\frac{1}{5}$$

$$\frac{1}{B}=\frac{1}{20}$$

$$\frac{1}{C}=\frac{1}{70}$$

$$-\frac{1}{5} < \frac{1}{70} < \frac{1}{20}$$

$$\frac{1}{A} < \frac{1}{C} < \frac{1}{B}$$

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If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of  [#permalink]

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20 Nov 2017, 12:19
Bunuel wrote:
If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of the reciprocals 1/A, 1/B, and 1/C?

A. 1/A < 1/B < 1/C

B. 1/A < 1/C < 1/B

C. 1/C < 1/A < 1/B

D. 1/C < 1/B < 1/A

E. 1/B < 1/C < 1/A

B.$$\frac{1}{A} < \frac{1}{C} < \frac{1}{B}$$

$$A$$ is negative, then would be the smallest, reciprocal or not. $$C > B$$, the reciprocal would have opposite relative order.
If A < 0, 10 < B < 30, and 50 < C < 80, what is the relative order of &nbs [#permalink] 20 Nov 2017, 12:19
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