Question

move the points below to create a venn diagram that represent the sets ( a={i, ii, iii, v, vii} ) and ( b={iii, iv, v, vi} )?
provide your answer below:

Explanation:

Step1: Identify the intersection of sets A and B

The intersection \(A\cap B\) is the set of elements common to both \(A\) and \(B\).
\(A\cap B=\{\text{III}, \text{V}\}\)

Step2: Identify elements only in set A

Elements in \(A\) but not in \(B\) are \(\{\text{I}, \text{II}, \text{VII}\}\)

Step3: Identify elements only in set B

Elements in \(B\) but not in \(A\) are \(\{\text{IV}, \text{VI}\}\)

Answer:

• Place \(\text{III}\) and \(\text{V}\) in the overlapping region (intersection) of the two circles (representing \(A\) and \(B\)).
• Place \(\text{I}\), \(\text{II}\), and \(\text{VII}\) in the non - overlapping part of the circle representing set \(A\).
• Place \(\text{IV}\) and \(\text{VI}\) in the non - overlapping part of the circle representing set \(B\).