A department store in your hometown charges 975 tax the stor

A department store in your hometown charges 9.75% tax; the store\'s location in your cousin\'s hometown only charges 7.75%tax. If a shopper pre-tax receipt is between $11.57 and $81.43, write and graph a compound inequality that describes the difference in taxes paid for the two locations (to the nearest cent).

Solution

21 Let x be the pre-tax cost :$11.75<x < $81.43

Tax in your town: 9.75% ; Tax in your cousin\'s town : 7.75%

Let y be difference in taxes between your town and your cousin\'s town:

$11.75( 0.0975- 0.0775) < y < $81.43( 0.0975- 0.0775)

$0.235< y <$ 1.6286

rounded off to nearest cent : $0.24 < y <$1.63

22. From the graph we can see the shaded portion starts from x =-5 ( and extends to left side:

So, inequality can be written as: ( - infinity , -5)

x <= -5