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If a < -1, is b between 0 and 1?

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Bunuel
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If a < -1, is b between 0 and 1? [#permalink] New post   23 Nov 2017, 06:33
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If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0
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B
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NandishSS
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Re: If a < -1, is b between 0 and 1? [#permalink] New post   23 Nov 2017, 06:49
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Bunuel wrote:
If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0


If a < -1

1) -b < -a
a=-2 and b=-3

Gives No

Multiply both sides by -ve b > a

b=.8 and a=-2

Gives Yes

2)-1 < ab < 0

We know that

a < -1

-1 < ab < 0 to be true b < 0.5 - 0.1

Hence B.

Please let me know if I'm wrong somewhere :-)
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exc4libur
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Re: If a < -1, is b between 0 and 1? [#permalink] New post   23 Nov 2017, 12:52
Bunuel wrote:
If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0


Given: a is a negative smaller than -1
(1) -b < -a :
If a = -2 and b = 1.5 then, (-1.5) < -(-2) and b is not between 0 and 1, statement is false.
But if a = -2 and b = 0.5 then, (-0.5) < -(-2), statement is true;
(2) -1 < ab < 0 : since a is a negative, b must be a positive to make the condition true;
Answer is (B).
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rounakkedia172
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Re: If a < -1, is b between 0 and 1? [#permalink] New post   08 Sep 2020, 10:25
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Bunuel wrote:
If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0


To find whether 0 < b < 1.

Statement 1:
-b < -a
b > a
b >= -1.
No suff.

Statement 2:
-1 < ab < 0.
dividing the inequality by -1, we get:
1 > b > 0.
Sufficient.
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Hama95
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Re: If a < -1, is b between 0 and 1? [#permalink] New post   04 Nov 2020, 09:48
we have a<-1 this it is a negative number, we also have -1<ab<0. If we multiply the ab*(1/a) we will have 0<(1/a)*ab<1, we understandably switch the sign because (1/a) is a negative number. Simplifying the equation will give us 0<b<1.
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Re: If a < -1, is b between 0 and 1 ? 1. -b < -a 2. -1 [#permalink] New post   24 Jan 2022, 10:57
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Re: If a < -1, is b between 0 and 1 ? 1. -b < -a 2. -1 [#permalink]
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