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

Respuesta :

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)

Answer:

[tex]155,850 \leq  x \leq 415,850[/tex]

Step-by-step 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, [tex]980000\leq x \leq 1240000[/tex]

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

So, [tex](980000-824000)\leq x \leq (1240000-824000)[/tex]

[tex]156000\leq x \leq 416000[/tex]

So, Option D is true

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

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