b) Prove that A° U B° C (AU B)°. Give an example to show that equality does not always hold.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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How do you solve (b)?

Let A and Bdenote subsets of R".
(a) Prove that ANBCAN B. Give an example to show that equality does not always hold.
(b) Prove that A° U B° C (AU B)°. Give an example to show that equality does not always hold.
(c) Give an example of a function that is C2 but not C³.
Transcribed Image Text:Let A and Bdenote subsets of R". (a) Prove that ANBCAN B. Give an example to show that equality does not always hold. (b) Prove that A° U B° C (AU B)°. Give an example to show that equality does not always hold. (c) Give an example of a function that is C2 but not C³.
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