To solve the inequality \( w + 6 \geq 8 \), we need to isolate the variable \( w \). This can be done by subtracting 6 from both sides of the inequality.
Step 1: Isolate the Variable
Starting with the inequality \( w + 6 \geq 8 \), we subtract 6 from both sides to isolate \( w \):
\[
w \geq 8 - 6
\]
Step 2: Simplify the Expression
This simplifies to:
\[
w \geq 2
\]
Step 3: Express the Solution
The solution can be expressed in interval notation as:
\[
w \in [2, \infty)
\]
Final Answer
The solution to the inequality is \( \boxed{w \geq 2} \).