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6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A= (-1,2,4,7} and B = {-2,-1,1}, find A+B and A B. %3D (b) If A and B are nonempty and bounded above, prove that sup(A + B)= supA+ sup B %3D

6. For A, B, subscts of R, define A+B= {a+b:a€ A, bE B} and A B= (ab:a € A,bE B} (a) For A= (-1,2,4,7} and B = {-2,-1,1}, find A+B and A B. %3D (b) If A and B are nonempty and bounded above, prove that sup(A + B)= supA+ sup B %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. For A, B, subscts of R, define A +B= {a+b:a € A, b € B} and A B {ab: a € A,b E B} (a) For A = (-1,2,4, 7} and B = {-2, –1,1}, find A + B and A B. (b) If A and B are nonempty and bounded above, prove that sup(A + B) = supA+ supB %D
Transcribed Image Text:6. For A, B, subscts of R, define A +B= {a+b:a € A, b € B} and A B {ab: a € A,b E B} (a) For A = (-1,2,4, 7} and B = {-2, –1,1}, find A + B and A B. (b) If A and B are nonempty and bounded above, prove that sup(A + B) = supA+ supB %D
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