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0 < a < b < 1

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Carcass
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0 < a < b < 1 [#permalink] New post   27 Jan 2020, 03:32
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0<a<b<1


Quantity A
Quantity B
0
2(a−b)



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

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Ezio23
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Re: 0 < a < b < 1 [#permalink] New post   27 Jan 2020, 05:40
1
a<b
Implies a-b < 0
Also, 2(a-b) < 0

Therefore answer is 0 (A)

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GreenlightTestPrep
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0 < a < b < 1 [#permalink] New post   27 Jan 2020, 06:25
1
Carcass wrote:
0<a<b<1


Quantity A
Quantity B
0
2(a−b)




We can solve this question using matching operations

Given:
Quantity A: 0
Quantity B: 2(a−b)

Expand Quantity B to get:
Quantity A: 0
Quantity B: 2a−2b

Add 2b to both quantities to get
Quantity A: 2b
Quantity B: 2a

Divide both quantities by 2 to get:
Quantity A: b
Quantity B: a

Since we are told that 0<a<b<1, we can see that Quantity A is greater

Answer: A

Cheers,
Brent

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0 < a < b < 1 [#permalink] New post   11 Jun 2021, 21:01
1
0<a<b<1

Quantity A

0

Quantity B

2(a−b)
Now we know that 0<a<b<1
that means a < b
Take b to the left side we get
a - b < 0
Multiply both the sides by 2 we get
2(a−b) < 0

=> Quantity B < Quantity A
=> Quantity A > Quantity B

So, answer will be A
Hope it helps!

Learn more about Inequalities in this video

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0 < a < b < 1 [#permalink]
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