Problem

Finance The following table shows the federal income tax for a single person in 2008: I...

Finance The following table shows the federal income tax for a single person in 2008:

If Taxable Income is Over

But Not Over

The Tax Is

Of Amount Over

$0

$8025

10%

$0

$8025

$32,550

$802.50 + 15%

$8025

$32,550

$78,850

$4481.25 + 25%

$32,550

$78,850

$164,550

$16,056.25 + 28%

$78,850

$164,550

$357,700

$40,052.25 + 33%

$164,550

$357,700

no limit

$103,791.75 + 35%

$357,700

(a) Let x denote the taxable income. Write each of the six income ranges in the table as an inequality.


(b) Let T denote the income tax. Write an inequality that gives the tax range in dollars for each of the six income ranges in the table.

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