The solution of : the absolute value of x+1 is always, sometimes or never true when x is any real number?

Question

need to explain reasoning and have examples and counterexamples

Answer 1

|x+1|≥0  ALWAYS.  Just think of what is the range of values of anything within |bars|.

 

And do try to type in your questions more carefully, in future, as another tutor has noted, also.  You will find the | character on your keyboard; please use it carefully (around an expression).