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The intersection of the element of set A and the complement of set B is [tex]\mathbf{n (A \cap B^c) = \{5,8\}}[/tex]
A Venn diagram is a visual representation that depicts mathematical sets as circular curves inside of a rectangle (known as the universal set), where the intersections of the circle's stand in for the crossings of the sets' common elements.
From the given information:
The complement of set B [tex]\mathbf{(B^c)}[/tex] is the elements that are not part of B but they are in the Universal set.
[tex]\mathbf{B^c}[/tex] = {5,8}
A = {5,2,8}
The intersection of the complement of set B and the element of set A is determined by looking for the elements that are not in both sets. Thus:
[tex]\mathbf{n (A \cap B^c) = \{5,8\}}[/tex]
Learn more about Venn diagrams here:
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