Help with compound ineqaulities :)

Sigchi4life
Category:
Algebra
Price: $5 USD

Question description

Hi, thanks for looking at my question. So the question is:

A department in your hometown charges 9.75% tax; the store's location in your cousin's hometown only charges 7.25% tax. If a shopper's pre-tax receipt is between $11.57 and $81.43, write and graph a compound inequality the describes the difference in taxes paid for the two locations (to the nearest cent).


I don't have a problem graphing it ( oh and the graph is this kind of graph <--|--|--|--|--|--> ) but I'm not sure how to make the equation. This is what I have so far:

9.75% of $11.57 is $1.13 and 9.75% of $81.43 is 7.94 (these are rounded to the nearest cent) and 7.25% of $ 11.57 is $0.84 and 7.25% of $ 81.43 is $5.90.

Then I subtracted 1.13-0.84= 0.29 and 7.94-5.90=2.04

Would the equation be 0.29<x<2.04 ? I feel like there should be more to it to call it a compound inequality. Please let me know if this is right or if there should be more to it. Thank you :)                        

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