guerrero25 wrote:
Is |x−5|>4?
(1) x^2 −4>0
(2) x^2−1<0
Please elaborate the approach . I got the answer wrong and did not quite get the OE.
IxI > a means x > a or x<-a
keeping that in mind , solve for the stem ie Ix-5I >4
you will get x > 9 or x <1 hence the question is "Is x > 9 or x <1"
1. Solve for Statement 1: (x-2)(x+2) >0 that means the range is x>2 or X <-2 visualize this on number line you will know certainly end up eliminating Statement 1
2. Similarly solve for statement 2: (x-1)(x+1)<0
this means that -1<x<1
hence is sufficeient as the the range is less than what asked in the question....
if you are facing difficult solving inequality modulus ....i would recommend...visit the blogs of Karishma...in the below mentioned thread.....
http://www.veritasprep.com/blog/2011/01 ... edore-did/
http://www.veritasprep.com/blog/2011/01 ... h-to-mods/
http://www.veritasprep.com/blog/2011/01 ... s-part-ii/
http://www.veritasprep.com/blog/2012/07 ... -and-sets/
you will be able to solve almost all mod and inequalities questions and yes
do not forget topress kudos if my post helps!!!!Archit