Find all $w$ so that neither $-2(6+2w)\le -16 + 7w$ nor $-3w\ge 18 - 5w + 3$.
-2 ( 6 + 2w) ≤ -16 + 7w -3w ≥ 18 -5w + 3
-12 - 4w ≤ -16 + 7w 2w ≥ - 15
4 ≤ 11w w ≥ -15/2
w ≥ 4/11
The most rstrictive interval is w ≥ 4/11