Set Theory/Examples/Unions and Intersections 1
Jump to navigation
Jump to search
Example in Set Theory
Let:
\(\ds V_1\) | \(=\) | \(\ds \set {v_1, v_3, v_4}\) | ||||||||||||
\(\ds V_2\) | \(=\) | \(\ds \set {v_2, v_5}\) | ||||||||||||
\(\ds V_3\) | \(=\) | \(\ds \set {v_1, v_3}\) |
Then:
\(\ds V_1 \cup V_2\) | \(=\) | \(\ds \set {v_1, v_2, v_3, v_4, v_5}\) | ||||||||||||
\(\ds V_1 \cup V_3\) | \(=\) | \(\ds \set {v_1, v_3, v_4}\) | ||||||||||||
\(\ds V_2 \cup V_3\) | \(=\) | \(\ds \set {v_1, v_2, v_3, v_5}\) | ||||||||||||
\(\ds V_1 \cap V_2\) | \(=\) | \(\ds \O\) | ||||||||||||
\(\ds V_1 \cap V_3\) | \(=\) | \(\ds \set {v_1, v_3}\) | ||||||||||||
\(\ds V_2 \cap V_3\) | \(=\) | \(\ds \O\) |
Thus:
Sources
- 1977: Gary Chartrand: Introductory Graph Theory ... (previous) ... (next): Appendix $\text{A}.1$: Sets and Subsets: Problem Set $\text{A}.1$: $4$