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Re: If x=x, then which one of the following statements [#permalink]
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26 Jun 2017, 01:58
If x =  x , then which one of the following statements could be true? \(x =  x\) The above equation means: 1. x can be ZERO 2. x can be any negative number Now lets go the options. I. x = 0 ===> Holds true based on point (1) above =====> TRUEII. x < 0 ===> Holds true based on point (2) above =====> TRUEIII. x > 0 ===> Not True as value should either be ZERO or Less than ZERO =====> FALSEHence, the answer is D
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Re: If x=x, then which one of the following statements [#permalink]
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13 Jul 2017, 08:54
Bunuel wrote: GMATMadeeasy wrote: If x = ± x , then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III I've never seen real GMAT question using the sign "±". Moreover as the OA believed to be D, then the question should be: If x=x, then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0 (A) None (B) I only (C) III only (D) I and II (E) II and III In this case, D would be correct answer as x can be zero as well as any negative number. Thanx Bunuel very well explained just tell me if it is x=x then what the answer should be TIA



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Re: If x=x, then which one of the following statements [#permalink]
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13 Jul 2017, 10:07
Business Analyst wrote: Bunuel wrote: GMATMadeeasy wrote: If x = ± x , then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III I've never seen real GMAT question using the sign "±". Moreover as the OA believed to be D, then the question should be: If x=x, then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0 (A) None (B) I only (C) III only (D) I and II (E) II and III In this case, D would be correct answer as x can be zero as well as any negative number. Thanx Bunuel very well explained just tell me if it is x=x then what the answer should be TIA x = x means that x >= 0. So, I and III could be true.
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Re: If x=x, then which one of the following statements [#permalink]
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14 Jul 2017, 00:36
GMATMadeeasy wrote: If x =  x , then which one of the following statements could be true?
I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III x = x Now x>=0 x<=0 so x<=0 Answer D
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Re: If x=x, then which one of the following statements [#permalink]
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16 Jul 2017, 17:38
GMATMadeeasy wrote: If x =  x , then which one of the following statements could be true?
I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III Since x = x, x must be negative or zero. Thus, I and II are true. Answer: D
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If x=x, then which one of the following statements [#permalink]
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Updated on: 01 Oct 2017, 23:10
Answer is D 1) If x<0, then x=x=0 2) If x<0 i.e. negative, then x= (x) [Here x is positive because x is less than 0. ve*ve= +ve]
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Originally posted by Shiv2016 on 13 Sep 2017, 06:24.
Last edited by Shiv2016 on 01 Oct 2017, 23:10, edited 1 time in total.



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Re: If x=x, then which one of the following statements [#permalink]
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01 Oct 2017, 09:34
If x =  x , then which one of the following statements could be true?
I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III[/quote]
x=x I. 0=0 =0 YES. II. 1=1 1=1 YES. III. 2=2 2 = 2 NO. HENCE ANS IS D.



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If x=x, then which one of the following statements [#permalink]
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01 Oct 2017, 12:10
Shiv2016 wrote: It would be great if for once someone clear this doubt. I am not able to move to something new in absolute values because of this same doubt. Every time I try to clear it, it becomes worse.
1) If x>=0 then x= x
2) If x<0 then x= (x)= x (in this x is negative now or positive?)
Then in this question, how is II correct?
x<0
x=x Shiv2016 , in case you are still wondering . . . On a different question, about a week after you posted this (sorry, I didn't see your post until just now), someone asked exactly what I think you are asking. I answered, because, as I wrote, that rule can feel very counterintuitive to me. I wrote down a few ways to think about what you asked and I highlighted, above. Bunuel then added another important way to think about it. So . . . three posts that address what I think you are asking. Please, take a look at Bunuel 's post starting HEREThen go to my post (same thread) here: WAYS TO THINK ABOUT x = xFinally, right below mine, Bunuel here: FINISHES THE DISCUSSIONAll of them come from this questionI hope they help.
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Re: If x=x, then which one of the following statements [#permalink]
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01 Oct 2017, 23:22
genxer123 wrote: Shiv2016 wrote: It would be great if for once someone clear this doubt. I am not able to move to something new in absolute values because of this same doubt. Every time I try to clear it, it becomes worse.
1) If x>=0 then x= x
2) If x<0 then x= (x)= x (in this x is negative now or positive?)
Then in this question, how is II correct?
x<0
x=x Shiv2016 , in case you are still wondering . . . On a different question, about a week after you posted this (sorry, I didn't see your post until just now), someone asked exactly what I think you are asking. I answered, because, as I wrote, that rule can feel very counterintuitive to me. I wrote down a few ways to think about what you asked and I highlighted, above. Bunuel then added another important way to think about it. So . . . three posts that address what I think you are asking. Please, take a look at Bunuel 's post starting HEREThen go to my post (same thread) here: WAYS TO THINK ABOUT x = xFinally, right below mine, Bunuel here: FINISHES THE DISCUSSIONAll of them come from this questionI hope they help. Thank you so much for your reply. Your posts and Bunuel's posts are to the point and cleared all my doubts related to negative sign. I again solved the question. I hope the reasoning makes sense now



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Re: If x=x, then which one of the following statements [#permalink]
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13 Oct 2017, 08:32
GMATMadeeasy wrote: If x =  x , then which one of the following statements could be true?
I. x = 0 II. x < 0 III. x > 0
(A) None (B) I only (C) III only (D) I and II (E) II and III x is always positive. Putting a negative sign infront of a positive sign makes the value a negative. So, the value of x is negative. X CANNOT be greater than zero, because this would make x a positive, which would make  x a negative, which contradicts the given equation. X could be zero, because the absolute value of zero is zero, and the negative sign does not change the value of zero; therefore, 0 =  0 holds true. Therefore, the answer is (D) I and II




Re: If x=x, then which one of the following statements
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