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12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|
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21 Dec 2022, 07:00
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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
|
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Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|
[#permalink]
21 Dec 2022, 07:13
1
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1
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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 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
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
|
Senior Manager
Joined: 16 Jul 2019
Posts: 484
Given Kudos: 151
Re: 12 Days of Christmas GMAT Competition - Day 8: If x = 4p + 10 and |p|
[#permalink]
21 Dec 2022, 07:13
3
Kudos
-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