Concept explainers
Let x, y, and z be integers. Write a proof by contraposition to show that
(a) if x is even, then
(b) if x is odd, then
(c) if
(d) if xy is even, then either x or y is even.
(e) if
(f ) if xy is odd, then both x and y are odd.
(g) if 8 does not divide
(h) if x does not divide yz, then x does not divide z.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
A Transition to Advanced Mathematics
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell