The inequality: the absolute value of x +c<0 has no solution is sometimes, always or never true when x is any real number and c is any whole number

Question

need to explain reasoning and have examples and counterexamples

Answer 1

|x +c|<0

has no solution because the quantity on the left is 0 or more, by definition of ABSOLUTE VALUE.

 

|x +c|≥0 is ALWAYS true regardless of what numbers x and c are.