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# If a > b and c < a, which of the following must be true?

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Re: If a > b and c < a, which of the following must be true? [#permalink]
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Bunuel wrote:
If a > b and c < a, which of the following must be true?

I. a > b > c
II. 2a > b + c
III. a^2 > bc

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

a>b
a>c
b,c not sure which one is bigger
Option I out

Option II is correct

Multiplying inequalities only when both sides are positive. In this case, unclear.
Option III is out.

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Re: If a > b and c < a, which of the following must be true? [#permalink]
Bunuel wrote:
If a > b and c < a, which of the following must be true?

I. a > b > c
II. 2a > b + c
III. a^2 > bc

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III

All we know is that a is greater than b and greater than c. Thus, the only answer choice that must be true is a + a (or 2a) is greater than b + c.

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Re: If a > b and c < a, which of the following must be true? [#permalink]
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Re: If a > b and c < a, which of the following must be true? [#permalink]
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