Question # 01: Consider the universal set \(U=\{x:x\text{ is multiple of 2 and }0<x\leq30\}\), \(A=\{x:x\text{ is a multiple of } 6\}\) and \(B=\{x:x\text{ is a multiple of 8}\}\).
\((ii)\) \(\;\) Find \(A\cap B\)
Solution:
\(A\cap B\)\(=\)\(\{6,12,18,24,30\}\)\(\cap\)\(\{8,16,24\}\)
\(A\cap B=\{24\}\)
Explanation:
A intersection B — all elements that are in both Set A and Set B.