# 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

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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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}

Step 2

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### Algebra 