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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=25Ai(b)   ⋃i=25Ai(c)    ⋂i=1100Bi(d)    ⋃i=1100Bi(e)    ⋂i=1100Ci(f)    ⋃i=1100Ci

Question

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=25Ai
(b)

 

 

 

⋃i=25Ai
(c)

 

 

 

 

⋂i=1100Bi
(d)

 

 

 

 

⋃i=1100Bi
(e)

 

 

 

 

⋂i=1100Ci
(f)

 

 

 

 

⋃i=1100Ci

check_circleAnswer
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}

A, {1 2
i=25
-AnAAnA2
[1,1,n2,4{1,3,9}|...N(1,25,625)
[1
help_outline

Image Transcriptionclose

A, {1 2 i=25 -AnAAnA2 [1,1,n2,4{1,3,9}|...N(1,25,625) [1

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Step 2

Answer(b): {1,2,3,....,25,...

UA
i=25
=AUA,UA,U.UA,s
[1.1,1U1.2,4U{1,3,9}...U 1,25,625)
[1,2,3,...25,36,49,64,.....625}
help_outline

Image Transcriptionclose

UA i=25 =AUA,UA,U.UA,s [1.1,1U1.2,4U{1,3,9}...U 1,25,625) [1,2,3,...25,36,49,64,.....625}

fullscreen

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