Question

A publisher estimates their costs of publishing a book is from $780,000 to $1,040,000. So far, they have spent $624,000. Which compound inequality correctly expresses how much more the publisher can spend?

Answer 1

780,000-624,000=156,000
So the publisher can spend:
B is greater than or equal to 156,000
The sign would be < with a line under
(Were there any options because it would make it easier to make sure the answer is correct)

Answer 2

The correct answer is:

156,000 ≤ x ≤ 416,000

Explanation:

The amounts they can spend range from 780,000 to 1,040,000.  They have already spent 624,000 and have an unknown amount left to spend.  This gives us the inequality

780,000 ≤ 624,000 + x ≤ 1,040,000

To solve this, subtract 624,000 from all 3 sides:

780,000-624,000 ≤ 624000+x-624,000 ≤ 1,040,000-624,000

156,000 ≤ x ≤ 416,000