Apublisher estimate the cost of publishing a book is from 980,000 to 1249,000 so far the spend 824,000 which compound inequality correctly expresses how much more is publisher can spend

Let the money the publisher can spend be x:

x ≥ 980 000-824 000
x ≥ $156 000
or
x ≤ 1 249 000-824 000
x ≤ $466 000

$466 000≤ x ≤$156 000

Therefore the money he can spend is between $156000~$466000.

Hope it helps!