15–
Introduction to Sets
For
problems 1-4, determine whether each pair of sets is equal.
1. { 1, 2, 3 }, {
1, 3, 2 }
2. { 1, 2, 2, 3
}, { 1, 2, 3 }
3. { 1, 1, 3}, {
3, 3, 1 }
4. {x | x2 + x =2 }, { 1, -2 }
5. List the members of P({a, b }).
Which are proper subsets of { a, b}?
6. List the members of P({a, b, c, d }).
Which are not proper subsets of { a, b, c, d}?
7. If X
has 10 members, how many members does P(X) have?
How many proper subsets does X
have?
8. If X
has n members, how many proper
subsets does X have?