SOLUTION: Which answer choice describes the set of all solutions to the inequality |x + 2| < 8? A. x < 6 or x > -10 B. x > 6 or x C. x < 6 and x > -10 D. All real numbers.

Algebra ->  Inequalities -> SOLUTION: Which answer choice describes the set of all solutions to the inequality |x + 2| < 8? A. x < 6 or x > -10 B. x > 6 or x C. x < 6 and x > -10 D. All real numbers.      Log On


   

Question 305356: Which answer choice describes the set of all solutions to the inequality |x + 2| < 8?


A. x < 6 or x > -10
B. x > 6 or x
C. x < 6 and x > -10
D. All real numbers.

Answer by fasthomework(5) About Me  (Show Source):
You can put this solution on YOUR website!
|x + 2| < 8
-8 < x + 2 < 8 [this is the pattern for "less than"]
-8 -2 < x < 8 - 2
-10 < x < 6
Hence,
x < 6 and x > -10
Please contact me at envisioncampus@yahoo.com for more math tutoring and further explaination about math problems. I conduct tutoring session completely online in a virtual classroom.