Answer
$|x-7|\ge 5$
Work Step by Step
RECALL:
The expression $|x-a|$ represents the distance of a real number $x$ from $a$.
Thus, the expression $|x-7|$ represents the distance of the real number $x$ from $7$.
Therefore, the expression
$|x-7|\ge 5$ means: "the distance of a real number $x$ from $7$ is at least 5 units"
(refer to the image below for the graph)