Question 306247
Which answer choice is the set of all solutions to the inequality |x + 3| > -2? 

    
A. There are no solutions.
 B. x < -5 or x > -1
C. x > -5 and x < -1
D. All real numbers. 


With all respect to the person who has already answered this problem, I am sorry to say that I think that person is wrong.   The answer to this problem is A:  There is NO solutions.


Why?


The absolute-value principle reminds us that absolute value is always non negative.


Therefore,your equation of: |x + 3| > -2 has no solution, which is "A" in your choices.  


I hope this helps you.  :-)