1. Lesson 61 Subsets Subsets of the Set of Real Numbers

2. Symbols is a member of is not a member of is a subset of is not a subset of empty set (no members)

3. Definitions if we have:B = {1,2} and A = {1,2,3} Then we can say: –B is a subset of A (because all B’s members are in set A) –A is not a subset of B

4. Definitions Sets that have no members: { } = empty set Ø = null set

5. Example 61.1 Given the sets:D = {0, 1, 2} E = {1, 2, 3, …} G = {1, 3, 5} Are these true or false?

6. Real Numbers real numbers: irrational numbers: rational numbers: integers: whole numbers: natural/counting numbers:

7. Example 61.2 {what subsets of the real numbers?}

8. Example 61.3 {what subsets of the real numbers?}

9. example 61.4 {what subsets of the real numbers?}

10. Example 61.5 Tell whether the following statements are true or false: {reals} {irrationals} {irrationals} {reals} {irrationals} {rationals} {wholes}{naturals} {integers}{reals}

11. Homework P.S. 61 2-30 even