Express this collection of points on the number line using interval notation.
Includes the points -4 and + 3 (solid dots) but does not include + 5 (open dot)
( -∞ ,-4] U [ 3,5)
This is the collection of all points $x$ that satisfy $x \leq -4$ or $3 \leq x < 5$. These intervals are $(-\infty, -4]$ and $[3, 5)$, so the entire collection of points is $\boxed{(-\infty, -4] \cup [3, 5)}$.