B. Let S and T be sets of real numbers, and define S. T to be {x.y:xe Sandy e T}. Show that if S and T are both bounded, then S. T is also bounded.
B. Let S and T be sets of real numbers, and define S. T to be {x.y:xe Sandy e T}. Show that if S and T are both bounded, then S. T is also bounded.
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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Transcribed Image Text:B. Let S and T be sets of real numbers, and define S T to be
{x.y:xe S and y € T}.
Show that if S and T are both bounded, then S - T is also bounded.
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