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 \(B=\{x:x\text{ is a multiple of 8}\}\).
\((i)\) \(\;\) List all elements of sets \(A\) and \(B\) in tabular form.
Solution:
\(A=\{6,12,18,24,30\}\)
\(B=\{8,16,24\}\)
Explanation:
Set A: Multiples of 6
Start counting: \(6\times1=6,\)\(6\times2=12,\)\( …\) stop when the number exceeds 30.
Set B: Multiples of 8
Start counting: \(8\times1=8,\)\(8\times2=16,\)\( …\) stop when the number exceeds 30.