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then: Suppose that f:[a,b]→R is bounded , P is parition of [a,b] and Q is refinement of P, L(f;Q) < U(f;P) .a O L(f:Q)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.1: Postulates For The Integers (optional)

Problem 26E: Prove that the cancellation law for multiplication holds in Z. That is, if xy=xz and x0, then y=z.

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Question

Suppose that f:[a,b]→R is bounded, P is parition of [a,b] and Q is refinement ofP, then:
L(f;Q) s U (f;P) .a O
L(f:Q) <L(f;P) .b O
L(f;P) < U(f;Q) .c O
L(f:P) <L(f;Q).d O

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