Hi there,
I know some of you already see this PS. I succeed to eliminate A and B but after I'm lost. Could you help me to understand and select the right answer.
Which inequality below most accurately represents the range of possible values for x ?
A. The absolute value of x is less than or equal to 4.
B. The absolute value of x is less than or equal to 5.
C. The absolute value of (x + 2) is less than or equal to 2.
D. The absolute value of (x - 1) is less than or equal to 3.
E. The absolute value of (x + 1) is less than or equal to 3.
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
PS - absolute value / number line
This topic has expert replies
-
xcusemeplz2009
- Master | Next Rank: 500 Posts
- Posts: 399
- Joined: Wed Apr 15, 2009 3:48 am
- Location: india
- Thanked: 39 times
imo d
mod ( x-1)<=3
oe +-(x-1)<=3
taking +ve x-1<=3 i.e x<=4
and taking -ve value -x+1<=3 ie -x<=2 or x>=-2
finally
-2=<x=<4
mod ( x-1)<=3
oe +-(x-1)<=3
taking +ve x-1<=3 i.e x<=4
and taking -ve value -x+1<=3 ie -x<=2 or x>=-2
finally
-2=<x=<4
It does not matter how many times you get knocked down , but how many times you get up
-
grockit_jake
- GMAT Instructor
- Posts: 80
- Joined: Wed Aug 12, 2009 8:49 pm
- Location: San Francisco, CA
- Thanked: 16 times
Did it come from this article?
https://www.beatthegmat.com/a/2009/11/02/inequalities
There is a detailed explanation here.
https://www.beatthegmat.com/a/2009/11/02/inequalities
There is a detailed explanation here.
-
heshamelaziry
- Legendary Member
- Posts: 869
- Joined: Wed Aug 26, 2009 3:49 pm
- Location: California
- Thanked: 13 times
- Followed by:3 members
grockit_jake wrote:Did it come from this article?
https://www.beatthegmat.com/a/2009/11/02/inequalities
There is a detailed explanation here.
Is this question relevant to questions exactly similar to it ONLY, with number line shown, or we can draw a line to help us solve many of those crazy inequalities and absolute values ? Please, provide example.
