Answer
The number of outcomes would be either less than 42 or more than 58.
Work Step by Step
Solving
$|\displaystyle \frac{h-50}{5}|\geq 1.645\qquad $
Multiply with 5
$|h-50|\geq 8.225$
$|u| \gt c $ is equivalent to ($ u\lt -c $) or ($ u\gt c $)
$ \begin{array}{lllll}
h-50\leq-8.225 & /+50 & ...or... & h-50\geq 8.225 & /+50\\
h\leq 41.775 & & & h\geq 58.225 & \\
h\in(-\infty,41.775] & & or & h\in[58.225,\infty) & \\
& & & &
\end{array} $
The number of outcomes is a whole number, so
$ h $ is either less than 42 or more than 58.
