# 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 :)

Studypool has helped 1,244,100 students

1830 tutors are online

### Related Algebra questions

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors