Exercise 1. Let A, BC R.(a) Prove that if AC B, then int(A) C int(B).(b) Prove that int(An B) = int(A) n int(B).(c) Prove that int(A) U int(B) C int(AU B).(d) Find an example of sets A and B where int(AU B) # int(A) U int(B) I

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Answered: Exercise 1. Let A, BC R. (a) Prove that…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 50RE

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In exercises 510, approximate the area under the curve on the given interval using n rectangles and the evaluation rules (a) left endpoint, (b) midpoint and (c) right endpoint. 8. 6. y=x>+10n[0,2],n =16 y=+x+2on[l,4],n=16 1 o ceaes . = A = 9. y=cosx on[0,7/2],n =50 10. y=x*—1lon[-1,1],n =100
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Exercise 1. Let A, BC R. (a) Prove that if AC B, the int(A) C int(B). (b) Prove that int(AN B) = int(A) N int(B). (c) Prove that int(A) U int(B) C int(AU B).