To solve for [tex]\( b(-10) \)[/tex] given the function [tex]\( b(x) = |x + 4| \)[/tex], we need to substitute [tex]\( x = -10 \)[/tex] into the function and then evaluate it.
1. Start by substituting [tex]\( x = -10 \)[/tex] into the expression inside the absolute value.
[tex]\[
b(-10) = |-10 + 4|
\][/tex]
2. Perform the addition inside the absolute value:
[tex]\[
-10 + 4 = -6
\][/tex]
3. Take the absolute value of the result:
[tex]\[
|-6| = 6
\][/tex]
Thus, [tex]\( b(-10) = 6 \)[/tex].
So, the correct answer is [tex]\(\boxed{6}\)[/tex].
