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If (x11)(x3) < 0, which of the following must be true?
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13 Mar 2016, 08:50
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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Mar 2016, 09:07



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If (x11)(x3) < 0, which of the following must be true?
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15 Mar 2016, 21:12
If (x11)(x3) < 0, which of the following must be true?
(x11)(x3) < 0 => 3<x<11
A. x^2 + 5x + 6 < 0 => (x+2)(x+3)<0 => 3<x<2 B. x^2 + 5x + 6 > 0 => (x+2)(x+3)>0 => x<3 or x>2 C. 5  x < 0 => x>5 D. x  5 < 0 => x<5 E. 11  x > 0 => x<11
The range of x i.e. 3<x<11 seems to be covered by option 'E' and Option B both. Need help to clear this confusion.
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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Jun 2016, 19:47
Clearly if the expression is true, then x must be between 3 and 11. If I look at expression E, it says x< 11. I am not sure why this must be true as the questions asks. What if x< 3. Take x= 2. Then expression equals (9)*(1) = +9. This means that we cant say that x must be less than 11. What is going on. Someone please help with the question



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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Jun 2016, 19:48
Clearly if the expression is true, then x must be between 3 and 11. If I look at expression E, it says x< 11. I am not sure why this must be true as the questions asks. What if x< 3. Take x= 2. Then expression equals (9)*(1) = +9. This means that we cant say that x must be less than 11. What is going on. Someone please help with the question



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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Jun 2016, 19:53
ajdse22 wrote: Clearly if the expression is true, then x must be between 3 and 11. If I look at expression E, it says x< 11. I am not sure why this must be true as the questions asks. What if x< 3. Take x= 2. Then expression equals (9)*(1) = +9. This means that we cant say that x must be less than 11. What is going on. Someone please help with the question Hi, the reason is  we are not saying that  x can be ANY value < 11..... But WHATEVER be the value of x, it will be <11.... and 3<x<11 lies in the range given by x<11 similarily had you got a choice say x>0, this also would be true, as the range 3<x<11 lies in the range of x given by x>0..
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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Jun 2016, 20:31
Bunuel wrote: If (x11)(x3) < 0, which of the following must be true?
A. x^2 + 5x + 6 < 0 B. x^2 + 5x + 6 > 0 C. 5  x < 0 D. x  5 < 0 E. 11  x > 0 (x11)(x3) < 0; 3<x<11 > Given condition If we review options, E is always true. Let us review others: x^2 + 5x + 6 = (x+3)(x+2) (x+3)(x+2)<0, then 3<x<2 > This will not be true with the given conditions (3<x<11). A is out x^2 + 5x + 6 = (x+3)(x+2) (x+3)(x+2)>0, then x> 2 and x < 3 > This will not be true with the given conditions (3<x<11). B is out (C) 5  x < 0; 5<x; x> 5. But if x = 12 , then given condition is not satisfied. So C is also out. D. x  5 < 0 x<5 But if x = 1, (which is less than 3) then given condition is not satisfied. E is the answer.



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Re: If (x11)(x3) < 0, which of the following must be true?
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13 Jun 2016, 22:21
x lies between 3 and 11 3<x<11 so x11<0 === 11x>0 (E)



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If (x11)(x3) < 0, which of the following must be true?
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14 Jun 2016, 02:24
Bunuel wrote: If (x11)(x3) < 0, which of the following must be true?
A. x^2 + 5x + 6 < 0 B. x^2 + 5x + 6 > 0 C. 5  x < 0 D. x  5 < 0 E. 11  x > 0 (x11)(x3)<0 can be written as (11x)(x3)>0 So,to inequality hold true multiple of (11x) and (x3) must be positive and if I let both elements positive/negative then the range becomes 3<x<11 Answer Choice E matched which says 11x>0 or x<11,which must be true (I started to look from E to A for making easy decision first) Correct Answer E
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Re: If (x11)(x3) < 0, which of the following must be true?
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21 Feb 2017, 23:23
Bunuel wrote: If (x11)(x3) < 0, which of the following must be true?
A. x^2 + 5x + 6 < 0 B. x^2 + 5x + 6 > 0 C. 5  x < 0 D. x  5 < 0 E. 11  x > 0 <(1)0123456789101112> Actually, the question stem says the green part only. E says: 11x>0 > 11>x > for the value of x in the green part 11 always must be greater than that green value. So, the correct choice is E to me.
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Re: If (x11)(x3) < 0, which of the following must be true?
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23 May 2017, 15:39
(x11)(x3) < 0 => 3<x<11 How we are getting this value 3<x<11 . Please explain in detail .
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Re: If (x11)(x3) < 0, which of the following must be true? &nbs
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