Answer :

To solve the problem [tex]\( |2 - 9| \)[/tex]:

1. Calculate the Expression:
- First, we need to evaluate the expression inside the absolute value: [tex]\( 2 - 9 \)[/tex].
- Subtracting 9 from 2, we get [tex]\( -7 \)[/tex].

2. Apply Absolute Value:
- The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of [tex]\(-7\)[/tex] is [tex]\( 7 \)[/tex].

Thus, the solution is [tex]\( |2 - 9| = 7 \)[/tex].

Therefore, the correct answer is: [tex]\( 7 \)[/tex].