Solve : $|x-4|>a$.
Case 1: $a>0$; Case 2: $a<0$
I am getting answers which look similar in both cases:
- Let $a>0$ so $x>4+a$ or $x<4-a$ ,
- Let $a<0$ so $x>4+a$ or $x<4-a$ .
Though I know that both answers' meaning is different I am unable to find out how the points included in both cases are different
I wish to know why it is so and how different both answers are when plotted on a number line.