What interval consists of all $w$ which satisfy ${\bf neither}$ $-2(6+2w)\le -16$ nor $-3w\ge 18$ ?
-2(6 + 2w) ≤ -16 and -3w ≥ 18
⇒ -12 - 4w ≤ -16 w ≤ -6
⇒ -4w ≤ -4
w ≥ 1
Now value interval of w = (-∞, -6] ∪ [1,∞)
∴ w doesn't exist in the interval = [-6,1]