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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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Let £ = { α , β , γ } , A α = { 1 , 2 , 3 , ... } , A β = { 1 , 2 , 3 , ... } , and A γ = { 0 } . Write out λ £ A λ and λ £ A λ .

To determine

The sets λ£Aλ and λ£Aλ.

Explanation

Given Information:

The given sets are,

£={α,β,γ}, Aα={1,2,3,...},Aβ={1,2,3,...}, and Aγ={0}.

Formula Used:

λ£Aλ={x|xAλforatleastoneλ£}

And, λ£Aλ={x|xAλforeveryλ£}

Explanation:

Consider the given information.

£={α,β,γ}, Aα={1,2,3,...},Aβ={1,2,3,...}, and Aγ={0}.

Let us calculate λ£Aλ

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