+46 We have 2 cases, \(5 + 3w \le 2, and -5 - 3w \le 2\)
Starting with the first case \(5 + 3w \le 2\) , we can subtract 5 from both sides to get \(3w \le -3\), and then divide by 3 for an answer of \(w \le -1\), keeping in mind 3 is positive so we don't switch the sign.
Now for our second case, \(- 5 - 3w \le 2\), we add five to both sides giving us, \(- 3w \le 7\), now dividing by \(-3\) and making sure we flip the sign, we get,
\(w \ge - \dfrac{7}{3}\)
But wait, we still have to combine our answers giving us \(\boxed{-\frac{7}{3} \le w \le -1}\)
