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on the venn diagram, which region(s) represent the intersection of set …

Question

on the venn diagram, which region(s) represent the intersection of set a and set b (anb)?
ii
i and iii
i, ii, and iii
i, ii, iii, and iv

Explanation:

Step1: Recall the definition of intersection

The intersection of two sets \(A\) and \(B\) (\(A\cap B\)) consists of all elements that are in both \(A\) and \(B\).

Step2: Analyze the Venn - diagram regions

  • Region I: Elements only in \(A\) (not in \(B\)).
  • Region II: Elements in both \(A\) and \(B\).
  • Region III: Elements only in \(B\) (not in \(A\)).
  • Region IV: Elements in the universal set \(U\) but not in \(A\) or \(B\).

Answer:

II