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21 Dec 2022, 07:00
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E
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Difficulty:
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84% (01:21) correct
16%
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based on 659
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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
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
|
Archit3110
21 Dec 2022, 07:13
Kudos
Bookmarks
given
If x = 4p + 10 and |p| < 7
p = x-10 /4
l (x-10)/4)-7<0
case 1 :
x-10-28<0
x-38<0
x<38
case 2
-x+10-28<0
-x-18<0
-x<18
x>-18
Option E is correct -18 < x < 38
If x = 4p + 10 and |p| < 7
p = x-10 /4
l (x-10)/4)-7<0
case 1 :
x-10-28<0
x-38<0
x<38
case 2
-x+10-28<0
-x-18<0
-x<18
x>-18
Option E is correct -18 < x < 38
Bunuel
Oppenheimer1945
Joined: 16 Jul 2019
Last visit: 16 Apr 2026
Posts: 786
Given Kudos: 236
Location: India
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80 
GPA: 7.81
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80
Posts: 786
21 Dec 2022, 07:13
Kudos
Bookmarks
-7<p<7;
x=4(p)+10;
4(-7)+10=-18
4(7)+10=38
x ranges from -18 to 38
x=4(p)+10;
4(-7)+10=-18
4(7)+10=38
x ranges from -18 to 38
