Question

|X+3| < 5

A) -8 < X < 2
B) -2 < X < 8
C) 3 < X < 5
D) -3 < X < 5

Answer 1

This is a "less than" absolute value inequality so...
-5<x+3<5
-8<x<2

Answer 2

A ?

Answer 3

To solve an absolute value inequality of the form:
\(|X| \lt k\)
where X is an expression in x and k is a number, solve this compound inequality:
\(-k \lt X \lt k\)

Answer 4

For your problem, it goes like this:
\(|x + 3| \lt 5\)
\(-5 \lt x + 3 \lt 5\)
Subtract 3 from all three "sides" to get:
\(-8 \lt x \lt 2\)