Answer
$[w-1542]\leq 0.5$
Work Step by Step
The weight is measured to be $1542$ lb.
This number falls under the range $1541.5\leq w\lt 1542.5$, as if we assume $1542$ has been rounded to 4 significant figures, its error interval will be $1541.5\leq w\lt 1542.5$.
$1542.5$ is the upper bound in the range, as that is the max value which will round to $1542$, so we will take this as the value for $w$ in the inequality.
Therefore, $[w-1542]$ will always be equal to or smaller than $[1542.5-1542]$, which = $0.5$.
Hence, $[w-1542]\leq 0.5$