Math 3334: Class Notes

Def 7 Suppose M is a point collection. The statement taht P is a boundary point of M means P is a point and R is a region containing P, then R contains a point of M and a point not in M.

Prob 5 No point of a region is a boundary point.

Prob 6 Every region has a boundary point.

Prob 7 If P is a limit point of the point set M must P belong to M?

1) S1 and S2 are subsets of numbers.

2)  S1 and S2 have no number in common.

3) Each point in S1 is to the left of each point in S2.

4)The union of S1 and S2 is the real numbers R.

5) Either S1 has a right most number or S2 has a left most number.

Prob 8 There is a positive number t such that t*t=3.

Prob 9 If M is a number collection and B is a number such that each number in M is less than B than there is a number L such that no number in M exceeds L and if a is a number less than L, than there is a number in M greater than a.

Def 8 The statement that t is a graph means G is a point collection.

Def 9 The statement that f is a function meeans f is a graph such that no two points of f has the same first number.

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