Home / Mathematics /Let Ai = {…,−2,−1, 0, 1,…, i}. Find ппa)UA;.b) Ai-|A;.i=1i=1

Question Let Ai = {…,−2,−1, 0, 1,…, i}. Find ппa)UA;.b) Ai-|A;.i=1i=1

EKXUDS The Asker · Advanced Mathematics

Let A_i = {…,−2,−1, 0, 1,…, i}. Find

Transcribed Image Text: ппa)UA;.b) Ai-|A;.i=1i=1

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Transcribed Image Text: ппa)UA;.b) Ai-|A;.i=1i=1

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Step 1Here, Ai = {…,−2,−1, 0, 1,…, i}={ xϵ Z| x≤i }Step 2a) If i≤ then Ai is the subset of An.Ai C An. Taking union both sides.{:[uuu_(i=1)^(n)A_(i)subeuuu_(i=1)^(n)A_(n)],[uuu_(i=1)^(n)A_(i)subeuuu_(i=1)^(n)A_(n)=A_(n)]:}(1) using idempotent lawStep 3by definition of union,A_(n)subeuuu_(i=1)^(n)A_(i)dots..(2)Step 4From (1) and (2), the sets shou ... See the full answer

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