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In this video tutorial, the focus is on writing sets using set build notation and the roster method. Natural numbers are integers starting from 1 upwards. Natural numbers are positive integers, with examples being 1, 2, 3, 4, 5, 6, 7, 8. Numbers like 0.5 or negative numbers are not considered natural numbers. For the set of natural numbers less than 6, we use roster notation to list the elements 1, 2, 3, 4, 5, enclosed in braces to form set A. Set builder notation can also be used for the same set.