Question

solve the inequality
|8x+4|<28

Answer 1

An absolute value inequality of this type becomes a compound inequality.

For the absolute value inequality below, X is an expression in x, and k is a number
\(|X|<k\)
The solutionj is obtained by solving the following compound inequality:
\(-k \lt X \lt k\)

Answer 2

That means, you must solve this:

\(-28 \lt 8x + 4 \lt 28\)

Answer 3

STEPS:
1) subtract 4 from each part.
2) divide each part by 8.

Answer 4

so its -4<x<3