GMAT Club Forumhttps://gmatclub.com:443/forum/ 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|https://gmatclub.com/forum/12-days-of-christmas-gmat-competition-day-8-if-x-4p-10-and-p-404321-20.html Page 2 of 3

 Author: Bhartii [ 21 Dec 2022, 10:02 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| option E.solving x=4p+10 we get p in terms of x:p=x-10/4then putting above equation of p in 2nd equation i.e modp<7solving we get:-18

 Author: LeopardLiu [ 21 Dec 2022, 10:07 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| Answer is EIf x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?-7 < p < 7 --> -28 < 4p < 28 --> -18< 4p + 10 < 38

 Author: divyadna [ 21 Dec 2022, 10:47 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| |p|=7 Therefore -7

 Author: kavitaverma [ 21 Dec 2022, 10:48 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?A. -7 < x < 7B. x > -18C. x < 38D. -38 < x < 18E. -18 < x < 38-----------------------------------------IMO E-7

 Author: kratos0906 [ 21 Dec 2022, 11:16 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| |p|<7 means -7

 Author: GautamKhanduja [ 21 Dec 2022, 11:26 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| |p| < 7-7

 Author: Aks111 [ 21 Dec 2022, 11:48 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| |p|<7 => -7 < p < 7x = 4p + 10If p = 7 then x = 4*7+10 = 28 + 10 = 38If p = -7 then x = 4*-7+10 = -28 + 10 = -18Hence, possible range of values of x => -18

 Author: arya251294 [ 21 Dec 2022, 11:59 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| Bunuel wrote:12 Days of Christmas GMAT Competition with Lots of FunIf x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?A. -7 < x < 7B. x > -18C. x < 38D. -38 < x < 18E. -18 < x < 38|p| tells that -7 < p < 7substituting the min and max of p in the equation x = 4p + 10gives us the answer - option E.

 Author: snowbee15 [ 21 Dec 2022, 12:20 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| First of all based on the prompt |p| < 7 :|p| can either be p or -p , soSituation 1:p < 7 --> good as it isSituation 2:-p<7 --> here based on the rules of inequalities we move the negative sign to the 7 and flip the inequality sign --> p> -7so from the prompt we get -7< p < 7then we have been told that x = 4p + 10 --> lets rearrange this to get p alone --> (x - 10) / 4 = pputting this all together we get - 7 < (x-10)/4 < 7 Situation 1:- 7 < (x-10)/4 --> multiply both sides by 4-28 < x - 10 ---> add 10 to both sides-18 < xSituation 2:(x-10)/4 < 7 --> multiply both sides by 4x - 10 < 28 --> add 10 to both sidesx < 38therefore, E is the answer which is all the above steps put together giving -18

 Author: mysterymanrog [ 21 Dec 2022, 12:33 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| x=4p+10x-10/4=pTherefore abs(x-10/4)<7Case 1: x-10/4<7x-10<28x<38Case 2: -(x-10/4)<7x-10/4>-7x-10>-28x>-18combine the two-18

 Author: limuengaoey [ 21 Dec 2022, 14:25 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7given -7

Author:  rajtare [ 21 Dec 2022, 15:56 ]
Post subject:  Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|

Bunuel wrote:
12 Days of Christmas GMAT Competition with Lots of Fun

If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38 This question was provided by Experts'Global for the 12 Days of Christmas Competition Win $30,000 in prizes: Courses, Tests & more |P|<7 can be re-written as -7<p<7 if p =-7, x = -28+10 =-18, i.e. since p is greater than -7, thus x will be greater than -18 if p = 7, x =28+10 =38, ie. since p is greater than 7, thus x will be greater than 38 -18<x<38 thus correct option is answer choice E Author: HarshaBujji [ 21 Dec 2022, 18:11 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| Bunuel wrote: 12 Days of Christmas GMAT Competition with Lots of Fun If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ? A. -7 < x < 7 B. x > -18 C. x < 38 D. -38 < x < 18 E. -18 < x < 38 This question was provided by Experts'Global for the 12 Days of Christmas Competition Win$30,000 in prizes: Courses, Tests & more If |p| < 7 => p can be from (-7,7).
x can be -18 in case of p = -7;

x can be 38 in case of p=7

Hence the range of x = (-18,38).

IMO E

 Author: sampathgelam [ 21 Dec 2022, 19:49 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7,Find correct range of values of x ?the value of p is -7

 Author: Lizaza [ 21 Dec 2022, 23:27 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| To solve this, we just need to open the modulus for P:$$|p| < 7$$, which means $$-7 < p < 7$$Now, the limiting values of the original expression will be:$$4p + 10 = 4*(-7) + 10 =$$$$-18$$$$4p + 10 = 4*(7) + 10 =$$$$38$$And as P is strictly less, not equal to |7|, then X will never actually equal to those values, it will always remain in between:$$-18 < x < 38$$Therefore, the answer is E.

Author:  Stanindaw [ 22 Dec 2022, 00:24 ]
Post subject:  Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|

Bunuel wrote:
12 Days of Christmas GMAT Competition with Lots of Fun

If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?

A. -7 < x < 7
B. x > -18
C. x < 38
D. -38 < x < 18
E. -18 < x < 38 This question was provided by Experts'Global for the 12 Days of Christmas Competition Win \$30,000 in prizes: Courses, Tests & more p lies from -7 to 7
therefore x is -18 to 38

Posted from my mobile device

 Author: rahulp11 [ 22 Dec 2022, 01:15 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?$$|p| < 7 ⟹ -7 < p < 7$$substituting the minimum and maximum values of p in x = 4p + 10$$x > 4(-7) + 10 ⟹ x > -18\\x < 4(7) + 10 ⟹ x < 38$$A. -7 < x < 7B. x > -18C. x < 38D. -38 < x < 18 E. -18 < x < 38- Correct

 Author: Bekobod [ 22 Dec 2022, 02:44 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x?To find the domain of x, first, it is essential to find the range of values of |p|<7. Finally, to substitute p in the equation with the beginning and the end values of the range of p. -7 x=-18 Max: x=4*7+10 => x=38 -18

 Author: szcz [ 22 Dec 2022, 02:57 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| Based on given details-7

 Author: Catman [ 22 Dec 2022, 03:24 ] Post subject: Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p| If x = 4p + 10 and |p| < 7, which of the following represents the correct range of values of x ?-7

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