To evaluate the expression [tex]\( |3x - 1| \)[/tex] for [tex]\( x = -2 \)[/tex], follow these steps:
1. Substitute [tex]\( x = -2 \)[/tex] into the expression [tex]\( 3x - 1 \)[/tex]:
[tex]\[
3(-2) - 1
\][/tex]
2. Calculate the value inside the absolute value function:
[tex]\[
3 \cdot (-2) - 1 = -6 - 1 = -7
\][/tex]
3. Apply the absolute value function [tex]\( | \cdot | \)[/tex]:
[tex]\[
|-7| = 7
\][/tex]
So, the value of the expression [tex]\( |3x - 1| \)[/tex] for [tex]\( x = -2 \)[/tex] is [tex]\( 7 \)[/tex]. Thus, the correct answer is [tex]\((B)\)[/tex].
