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0 < a < b/2 < 9
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12 Aug 2018, 09:46
12 Aug 2018, 09:46
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Question Stats:
74% (00:59) correct
25% (01:12) wrong based on 191 sessions
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\(0 < a < \frac{b}{2} < 9\)
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.
Kudos for R.A.E
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.
Kudos for R.A.E
Re: 0 < a < b/2 < 9
[#permalink]
13 Aug 2018, 06:30
13 Aug 2018, 06:30
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Note that inequalities have many rules similar to equations, and thus we can balance the inequality by subtracting everything by a:
0 < a < b/2 < 9
-a < 0 < b/2 - a < 9 - a
So the answer is A.
0 < a < b/2 < 9
-a < 0 < b/2 - a < 9 - a
So the answer is A.
Re: 0 < a < b/2 < 9
[#permalink]
17 Aug 2018, 13:00
17 Aug 2018, 13:00
Romang67 wrote:
Note that inequalities have many rules similar to equations, and thus we can balance the inequality by subtracting everything by a:
0 < a < b/2 < 9
-a < 0 < b/2 - a < 9 - a
So the answer is A.
0 < a < b/2 < 9
-a < 0 < b/2 - a < 9 - a
So the answer is A.
If it's not too much trouble, could you explain what you mean by balancing the inequality, and why we subtract everything by a to do that? Thank you!
