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

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}

Step 2

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

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