Which of the following statements is logically equivalent to "If you live in a mansion, then you have a big heating bill."?   If you do not live in a mansion, then you do not have a big heating bill.   If you have a big heating bill, then you live in a mansion.   If you live in a mansion, then you do not have a big heating bill.   If you do not have a big heating bill, then you do not live in a mansion.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter5: Control Structures Ii (repetition)
Section: Chapter Questions
Problem 20PE: When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making...
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Which of the following statements is logically equivalent to "If you live in a mansion, then you have a big heating bill."?

 
  1. If you do not live in a mansion, then you do not have a big heating bill.

     
  2. If you have a big heating bill, then you live in a mansion.

     
  3. If you live in a mansion, then you do not have a big heating bill.

     
  4. If you do not have a big heating bill, then you do not live in a mansion.

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