absolute value

This topic has expert replies
User avatar
Legendary Member
Posts: 659
Joined: Mon Dec 14, 2009 8:12 am
Thanked: 32 times
Followed by:3 members

absolute value

by Gurpinder » Thu Aug 26, 2010 11:01 am
what are the 2 values for this eq.

22-|y+14|=20
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
Source: — Problem Solving |

Junior | Next Rank: 30 Posts
Posts: 15
Joined: Mon Aug 23, 2010 1:52 pm
Thanked: 1 times

by phillybeat » Thu Aug 26, 2010 11:06 am
Gurpinder wrote:what are the 2 values for this eq.

22-|y+14|=20

22-20 = |y+14|
y+14 = 2 or y+14 = -2

answer is -16,-12

User avatar
Legendary Member
Posts: 659
Joined: Mon Dec 14, 2009 8:12 am
Thanked: 32 times
Followed by:3 members

by Gurpinder » Thu Aug 26, 2010 11:10 am
i get -16, but how did u get -12
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.

User avatar
Senior | Next Rank: 100 Posts
Posts: 98
Joined: Thu Aug 19, 2010 10:00 am
Thanked: 7 times
Followed by:1 members
GMAT Score:760

by scorpionz » Thu Aug 26, 2010 11:15 am
Gurpinder wrote:i get -16, but how did u get -12
The two eqns can be -
a) 22 - (y+14) = 20
=> 8-y = 20
=> y=-12

b) 22 + (y+14) = 20
=> 36+y = 20
=> y=-16

Master | Next Rank: 500 Posts
Posts: 146
Joined: Sun Jun 13, 2010 5:05 am
Thanked: 7 times

by BastiG » Thu Aug 26, 2010 3:14 pm
You should always try to seperate the absolute value from the rest of the equation.

22-|y+14|=20
--> |y+14|=+2

2 can be either negative or positiv. It is easier if you think of

|y|=2

Now you can visualize

| | |
-2 0 2

--> So y can be either -2 or 2.

If you subtract the number 14. You get:

| | |
-16 -14 -12

--> So y can be either -16 or -12.

User avatar
Legendary Member
Posts: 659
Joined: Mon Dec 14, 2009 8:12 am
Thanked: 32 times
Followed by:3 members

by Gurpinder » Fri Aug 27, 2010 10:12 am
Ok I see that |y| = +- x

But in this question,

22 - |y+14|=20
--> |y+14|=+2

what happens to the - sign in front of |y+14| ??
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.

Master | Next Rank: 500 Posts
Posts: 146
Joined: Sun Jun 13, 2010 5:05 am
Thanked: 7 times

by BastiG » Fri Aug 27, 2010 10:28 am
Gurpinder wrote:Ok I see that |y| = +- x

But in this question,

22 - |y+14|=20
--> |y+14|=+2

what happens to the - sign in front of |y+14| ??
Well you can just multiply it by (-1). :)

22-|y+14|=20
-|y+14|=20-22
-|y+14|=-2 |*(-1)
|y+14|=2