M=(2,7,11,14) P-(3,7,8,9,10,11,21) MUP-? MIP-?

To find the union (MUP) and intersection (MIP) of the sets \( M \) and \( P \), we first need to define the two sets clearly:

• \( M = \{2, 7, 11, 14\} \)
• \( P = \{3, 7, 8, 9, 10, 11, 21\} \)

Union (MUP)

The union of two sets combines all unique elements from both sets.

\[ MUP = M \cup P = \{2, 3, 7, 8, 9, 10, 11, 14, 21\} \]

Intersection (MIP)

The intersection of two sets includes only the elements that are present in both sets.

\[ MIP = M \cap P = \{7, 11\} \]

Summary

• \( MUP = \{2, 3, 7, 8, 9, 10, 11, 14, 21\} \)
• \( MIP = \{7, 11\} \)