Step 1 :First, add 6 to both sides of the inequality to get rid of the -6 on the right side. This gives us: \(14 + 6 > 5w\).
Step 2 :Then, divide both sides by 5 to solve for w: \((14 + 6) / 5 > w\).
Step 3 :Calculate the left side of the inequality: \(left\_side = (14 + 6) / 5\).
Step 4 :The calculated left side of the inequality is 4.0.
Step 5 :So, the solution to the inequality is \(w < 4.0\).
Step 6 :Final Answer: \(w < \boxed{4.0}\)