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In this post we will discuss about all types of Interval of real numbers. What are Open intervals? What are closed intervals? What are half open – half closed intervals?
In the second video we shall be characterizing the intervals of real numbers by asserting that any subset of real numbers containing atleast two points and following the order property can make an interval of those two points.
In the third video we will understand the property of making nested intervals. What do we mean by the nested sequence of intervals.
In the fourth video we will try to figure out a sufficient condition for a nested sequence of intervals to have a common point.
Finally we will discuss the countability of some important sets like Q and R. Continue reading →