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Which of the following values of x satisfy both inequalities

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ritumaheshwari02
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Which of the following values of x satisfy both inequalities [#permalink] New post  Updated on: 17 Jun 2013, 05:46
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(x —1)(x + 3) > 0
(x +5)(x—4) < 0

Which of the following values of x satisfy both inequalities shown?

I. -6
II. -4
III. 2
IV. 5

A. I and II only
B. I and III only
C. II and III only
D. II and IV only
E. I, II, III, and IV
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Originally posted by ritumaheshwari02 on 29 Nov 2012, 10:25.
Last edited by Bunuel on 17 Jun 2013, 05:46, edited 2 times in total.
Renamed the topic.
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Bunuel
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Re: Which of the following values of x satisfy both inequalities [#permalink] New post  29 Nov 2012, 10:37
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(x —1)(x + 3) > 0
(x +5)(x—4) < 0

Which of the following values of x satisfy both inequalities shown?

I. -6
II. -4
III. 2
IV. 5

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

(x - 1)(x + 3) > 0 --> x<-3 or x>1.
(x + 5)(x - 4) < 0 --> -5<x<4.

Among choices only -4 and 2 satisfy both inequalities.

Answer: C.

Solving inequalities:
x2-4x-94661.html#p731476
inequalities-trick-91482.html
everything-is-less-than-zero-108884.html
xy-plane-71492.html
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Re: Which of the following values of x satisfy both inequalities [#permalink] New post  19 May 2016, 09:29
Backsolving was quick :)

C satisfies the equation
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Re: Which of the following values of x satisfy both inequalities [#permalink] New post  20 Jan 2021, 21:10
(x-1)(x+3) > 0
Solution is x > 1 and x <-3

(x + 5)(x-4) < 0
Solution is -5 < x < 4

Only -4 and 2 satisfy both.

Answer is C.
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Re: Which of the following values of x satisfy both inequalities [#permalink] New post  26 Jan 2021, 06:45
Bunuel
I got the answer but I am not able to understand why substituting value from the option only 3 satisfy because if we put -4 we get the second equation answer as 0<0
please help
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Re: Which of the following values of x satisfy both inequalities [#permalink] New post  23 Nov 2022, 04:45
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Re: Which of the following values of x satisfy both inequalities [#permalink]
23 Nov 2022, 04:45
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