Set theory is the mathematical study of sets, which are well defined object collections
The description of the universal set and subset are as follows;
Universal set: = {x ∈ N | 0 < x < 8} = { 1, 2, 3, 4, 5, 6, 7}
Subset: Set A = {x ∈ N | 0 < x < 8, x is odd} = {2, 4, 6 }
The reason the above values are correct are as follows;
The universal set, is the set containing without repetition the elements of all sets that is related to it
From the diagram in the question, we have;
Universal set:
The universal set has all elements in the rectangular enclosed area, which are natural numbers, <em>N</em>, larger than 0, but less than 8
Therefore, we have;
- Universal set:
= {<u>1, 2, 3, 4, 5, 6, 7</u>}, which is the set of natural numbers between 1 and 7
∪ = {x ∈ N | 0 < x < 8}
Subset:
A set <em>A</em> which is a subset of a set <em>B</em> is such that all the set <em>B</em> has all the elements of the set <em>A</em>
A subset is given by the set of elements enclosed in the circular area, which is a located within in the rectangular figure representing the universal set and , which is the set of all even natural numbers, <em>N</em>, larger than 0, but less than 8
Therefore, we have;
- Subset: Set A = {<u>2, 4, 6</u> }, which is the set of even numbers between 1 and 7
A = {x ∈ N | 0 < x < 8, x is odd}
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