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Is x > 0 ? (1) |x+3| < 4 (2) |x-3| < 4 Please assist with above prob

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Is x > 0 ? (1) |x+3| < 4 (2) |x-3| < 4 Please assist with above prob [#permalink]

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New post 26 Sep 2016, 19:03
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E

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  25% (medium)

Question Stats:

78% (00:50) correct 22% (01:00) wrong based on 58 sessions

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Is x > 0 ?

(1) |x+3| < 4
(2) |x-3| < 4

Please assist with above problem
[Reveal] Spoiler: OA
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Re: Is x > 0 ? (1) |x+3| < 4 (2) |x-3| < 4 Please assist with above prob [#permalink]

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New post 26 Sep 2016, 20:32
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Re: Is x > 0? (1) |x + 3| < 4 (2) |x – 3| < 4 [#permalink]

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New post 23 Jan 2018, 22:04
DHINGRACHIRAG24 wrote:
Is x > 0?

(1) |x + 3| < 4
(2) |x – 3| < 4


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(1) |x-(-3)| < 4
This also means that distance of 'x' from '-3' on the number line is within 4 steps. So x is within 4 steps to right and left of -3. 4 steps to right of -3 is 1 and 4 steps to the left of -3 is -7. Thus x lies between -7 and 1. So x could be either positive or negative. Not sufficient.

(2) |x - 3| < 4
This also means that distance of 'x' from '3' on the number line is within 4 steps. So x is within 4 steps to right and left of 3. 4 steps to right of 3 is 7 and 4 steps to the left of 3 is -1. Thus x lies between -1 and 7. So x could be either positive or negative. Not sufficient.

After combining the two statements, x could lie between -1 and 1 (this is the only area on the number line which x can take if it has to satisfy both statement 1 and statement 2 conditions).
But still between -1 and 1, x could be negative or 0 or positive. So not sufficient.

Hence E answer
Re: Is x > 0? (1) |x + 3| < 4 (2) |x – 3| < 4   [#permalink] 23 Jan 2018, 22:04
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Is x > 0 ? (1) |x+3| < 4 (2) |x-3| < 4 Please assist with above prob

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