Question

A publisher estimates their costs of publishing a book is from $980,000 to $1,240,000. So far, they have spent $824,000. Which compound inequality correctly expresses how much more the publisher can spend?

$155,850 ≥ x ≤ $415,850

$155,850 ≤ x ≥ $415,850

$155,850 ≥ x ≥ $415,850

$155,850 ≤ x ≤ $415,850

Answer 1

`155,850 \leq  x \leq 415,850`

Explanation:

A publisher estimates their costs of publishing a book is from $980,000 to $1,240,000.

Let x be the amount publisher can spend

So,
`980000\leq x \leq 1240000`

Now we are given that So far, they have spent $824,000

So,
`(980000-824000)\leq x \leq (1240000-824000)`

`156000\leq x \leq 416000`

So, Option D is true

Hence compound inequality correctly expresses how much more the publisher can spend is
`155,850 \leq  x \leq 415,850`

Answer 2

The least amount the publisher can spend is:
980,000 - 824,000 = 156,000

The greatest amount the publisher can spend is:
1,240,000 - 824,000 = 416,000

The range of amount the publisher is left to spend is given by:
156,000 ≤ x ≤ 416,000

Answer: Fourth option (D)