Question 73254
Please solve this inequality and absolute value problem and show solution set?  

{x+2}-3>2 
Because you said this was an absolute value problem, I am going to assume that {} means ||.
{{{abs(x+2)-3>2}}}  First isolate the absolute value, by adding 3 to both sides.
{{{abs(x+2)-3+3>2+3}}}
{{{abs(x+2)>5}}}  
Because of >, this is now separated into two inequalities with an or between them.  When we change the sign, we flip the inequality.
x+2>5 or x+2<-5
x+2-2>5-2 or x+2-2<-5-2
x>3 or x<-7
The interval notation for the solution set is: (-infinity,-7)U(3,infinity)
Happy Calculating!!!!