Let U = {x|x is a lowercase letter in the English alphabet} be the universal set. In roster method and in alphabetical order of arrangement of elements, determine the following sets. 1. B = {x ∈ U|x is in the word geometry} 2. E = {x ∈ U|x is in the word trigonometry} 3. A = {x ∈ U|x is in the word arguments}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let U = {x|x is a lowercase letter in the English alphabet} be the universal set. In roster method and in alphabetical order of arrangement of elements, determine the following sets.


1. B = {x ∈ U|x is in the word geometry}
2. E = {x ∈ U|x is in the word trigonometry}
3. A = {x ∈ U|x is in the word arguments}
4. B ∩ E
5. A ∪ E
6. B − A
7. E × E

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