Question

What is the solution set of the absolute value sentence
|x + 9| < 2?

A. {4/3, -4}
B. {x|x > 4 or x < -4/5}
C. No Solution
D. {x|-11 < x < -7}
E. All Real Numbers

I need help

Answer 1

This is a practical way to solve inequality with absolute expression:
|x + 9| < 2
a) -(x + 9) < 2 b) (x + 9) < 2
-x - 9 < 2 x < 2 - 9
x > -11 x < -7
Answer: -11 < x < -7

Answer 2

Thanks i kinda get this i get with the letters and signs :( i struggle learning

Answer 3

confused*

Answer 4

|x + 9| < 2

LESS THAN is a wonderful thing!

This expression is EXACTLY the same thing.

-2 < x + 9 < 2