Find   ∞ ∪ i=1 Ai       and       ∞ ∩ i=1 Ai                   i an integer To show your work, show the first three values of each (i.e., A1, A2, and A3). Ai = { i, i + 2, i + 4, . . . } Ai = { 1, i+1 } Ai = [ 2, i ], that is, the closed interval of real numbers x between and i, inclusive of the end points Ai = [ i+1, ∞ ), that is, the interval of real numbers x with x ≥ i+1 Ai = ( −∞, i ], that is, the interval of real numbers x with x ≤ i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 48E
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Find

 



i=1
Ai       and      

i=1
Ai                   i an integer

To show your work, show the first three values of each (i.e., A1, A2, and A3).

  1. Ai = { i, i + 2, i + 4, . . . }
  2. Ai = { 1, i+1 }
  3. Ai = [ 2, i ], that is, the closed interval of real numbers x between and i, inclusive of the end points
  4. Ai = [ i+1, ∞ ), that is, the interval of real numbers x with x ≥ i+1
  5. Ai = ( −∞, i ], that is, the interval of real numbers x with x ≤ i
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