Question

the venn diagram (universal set u, circles m and n: m has 9, 3; m∩n has 4,7; n has 6; u has 2,5,8 outside circles). question: \the complement of set m is ______.\ options: {6}, {4,6,7}, {2,5,8}, {2,5,6,8}.

Explanation:

Step1: Define Complement of a Set

The complement of set \( M \) (denoted as \( M' \)) consists of all elements in the universal set \( U \) that are not in \( M \).

Step2: Identify Universal Set \( U \) and Set \( M \)

From the Venn diagram:

• Universal set \( U = \{2, 3, 4, 5, 6, 7, 8, 9\} \)
• Set \( M = \{3, 4, 7, 9\} \) (elements inside circle \( M \))

Step3: Find Elements in \( U \) but not in \( M \)

Elements in \( U \) not in \( M \): \( 2, 5, 6, 8 \)

Answer:

\(\{2, 5, 6, 8\}\) (the last option: \( \{2, 5, 6, 8\} \))