Consider the following sets: (c) C = (−1, 3) ∩ [−3, 1]. (d) D = (1, 2) ∪ [7, 8]. (f) F = {n 2 : n ∈ N}. (i) Does this set have an upper bound? (ii) Does this set have a supremum? (iii) Does this set have a maximum? (iv) Does this set have a lower bound? (v) Does this set have an infimum? (vi) Does this set have a minimum?

Consider the following sets: (c) C = (−1, 3) ∩ [−3, 1]. (d) D = (1, 2) ∪ [7, 8]. (f) F = {n 2 : n ∈ N}. (i) Does this set have an upper bound? (ii) Does this set have a supremum? (iii) Does this set have a maximum? (iv) Does this set have a lower bound? (v) Does this set have an infimum? (vi) Does this set have a minimum?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 57E

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Question

Consider the following sets:

(d) D = (1, 2) ∪ [7, 8].

(f) F = {n 2 : n ∈ N}.

(i) Does this set have an upper bound? (ii) Does this set have a supremum? (iii) Does this set have a maximum? (iv) Does this set have a lower bound? (v) Does this set have an infimum? (vi) Does this set have a minimum?

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