Answer
See below.
Work Step by Step
Assume the statement is false. Then $a+c\gt b+c$. If we deduct $c$ from both sides, we get $a\gt b$, but this is a contradiction. Thus the statement is true.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Appendix - Mathematical Induction and Other Forms of Proofs - Exercises - Page A6: 14
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
