Use the following definitions to express each union or intersection given. You can use roster or set builder notation in your responses, but no set operations.Ai={i0,i1,i2}(Recall that for any numberx,x0=1.)Bi={x∈R:−i≤x≤1/i}Ci={x∈R:−1/i≤x≤1/i}(a)⋂i=2Ai, n = 5(b)⋃i=2Ai, n = 5(c)⋂i=1Bi, n = 100(d)⋃i=1Bi, n = 100(e)⋂i=1Ci, n = 100(f)⋃i=1100Ci

Question
Asked Sep 20, 2019

Use the following definitions to express each union or intersection given. You can use roster or set builder notation in your responses, but no set operations.






Ai={i0,i1,i2}
(Recall that for any number
x
,

x0=1
.)








Bi={x∈R:−i≤x≤1/i}









Ci={x∈R:−1/i≤x≤1/i}
(a)



⋂i=2Ai, n = 5
(b)



⋃i=2Ai, n = 5
(c)




⋂i=1Bi, n = 100
(d)




⋃i=1Bi, n = 100
(e)




⋂i=1Ci, n = 100
(f)




⋃i=1100Ci

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

a. Ai={i^0,i^1,i^2}

Ai= {1,i,i^2}

Answer(a): {1}

A12
i-25
-AnAsnA A2
=1,1,1n1.2,4)n1,3,9}N...N{1,25,625)
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Image Transcriptionclose

A12 i-25 -AnAsnA A2 =1,1,1n1.2,4)n1,3,9}N...N{1,25,625)

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Step 2

Answer(b): {1,2,3,....,25,36,49,64,.....,625}

...
UA
i=25
=AUAUAU..UA2
[1,1,1U{1,2,4)U(1,3,9)}U...U 1,25,625}
1,2,3,. 25,36,49,64....625}
help_outline

Image Transcriptionclose

UA i=25 =AUAUAU..UA2 [1,1,1U{1,2,4)U(1,3,9)}U...U 1,25,625} 1,2,3,. 25,36,49,64....625}

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