Answer
$(-\infty,97.1]\cup[101.1,\infty)$
Work Step by Step
The equation by the text of the exercise is: $|x-98.6|\geq1.5$, so
$x-98.6\geq1.5 $ or $x-98.6\leq-1.5$, so
$x\geq100.1$ or $x\leq97.1$, thus the solution set is $(-\infty,97.1]\cup[101.1,\infty)$