# Thread: Word problem dealing with inequalities. Help!

1. ## Word problem dealing with inequalities. Help!

The percentage method of withholding for federal income tax (2003) states that a single person whose weekly wages, after subtracting withholding allowances, are over $592, but not over$1317, shall have $74.35 plus 25% of the excess over$592 withheld. Over what range does the amount withheld vary if the weekly wages, after subtracting withholding allowances, vary from $600 to$1200 inclusive?

^That might as well be written in Greek. I have no idea what to do!

2. Originally Posted by Danny Relic
The percentage method of withholding for federal income tax (2003) states that a single person whose weekly wages, after subtracting withholding allowances, are over $592, but not over$1317, shall have $74.35 plus 25% of the excess over$592 withheld. Over what range does the amount withheld vary if the weekly wages, after subtracting withholding allowances, vary from $600 to$1200 inclusive?

^That might as well be written in Greek. I have no idea what to do!

The low end of the weekly wage range is $600. Withholding on that amount according to your formula would be:$74.35 + 25%($600 -$592) = $76.35 The upper end of the weekly wage range is$1200. Withholding on that amount according to your formula would be:
$74.35 + 25%($1200 - $592) =$226.35
So, the range of withholding varies from $76.35 to$226.35.