Operations on Sets: Understanding the \(\cap\) and \('\) Symbols

Given that

\(\xi = \{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\}\),

\(R = \{x : x \text{ is a factor of}\hspace{0.5em} 4\}\) and

\(S = \{x : 5x - 1 > 34\}\).

1. List the elements in
   1. \(S\),
   2. \(R' \cap S\)
2. Write down \(n(R \cap S)\).

All sets in this question are subsets of the stated universal set \(\xi\); every set-builder variable is restricted to that universe.