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.

Elements Of Modern Algebra
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ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
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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.
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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