Question

Graph the solution set of the compound inequality: |x+1| < 4 or |x+1| > 6

Answer 1

`A:\\|x+1| < 4\to x+1 < 4\ \wedge\ x+1 > -4\ \ \ |-1\\\\x < 3\ \wedge\ x > -5`


`B:\\|x+1| > 6\to x+1 > 6\ \vee\ x+1 < -6\ \ \ |-1\\\\x > 5\ \vee\ x < -7`



`Answer:\ x\in(-\infty;\ -7)\ \cup\ (-5;\ 3)\ \cup\ (5;\ \infty)`