To solve the inequality, we want to isolate the variable w on one side of the equation.
First, we subtract 213 from both sides: 10w + 213 - 213 ≥ 299 - 213.
This simplifies to 10w ≥ 86.
Finally, we divide both sides by 10 to solve for w: w ≥ 8.6.
Therefore, the correct answer is w ≥ 8.6.