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69% (00:52) correct
30% (01:19) wrong based on 113 sessions

\(0 < a < \frac{b}{2} < 9\)

Quantity A

Quantity B

\(9-a\)

\(\frac{b}{2} - a\)

A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.

Re: 0 < a < b/2 < 9 [#permalink]
18 Aug 2018, 05:48

1

This post received KUDOS

Expert's post

Carcass wrote:

\(0 < a < \frac{b}{2} < 9\)

Quantity A

Quantity B

\(9-a\)

\(\frac{b}{2} - a\)

GIVEN: 0 < a < b/2 < 9 Subtract a from all sides to get: 0 - a < a - a < b/2 - a < 9 - a Simplify: -a < 0 < b/2 - a < 9 - a

If we ignore the first two values, we can see that: b/2 - a < 9 - a Since 9 - a is GREATER THAN b/2 - a, the correct answer is A

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Re: 0 < a < b/2 < 9 [#permalink]
18 Aug 2018, 12:09

1

This post received KUDOS

We can easily eliminate -a from the inequality since it's on both the sides. After that, only 9 and b/2 are left, and 9 is bigger is given in the question.