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How do you Find the ratio of the number of hands to the number of fingers in a group of people?
since each hand has 10 fingers ( we assume that all the people have all their fingers) and each person has 2 hands, 10/2 is the ratio of fingers to hands. this is 5 to 1
What is the set of all numbers containing zero as well as all postitive and negative numbers?
The answer depends on what do you mean by "all". It could be the set of all integers, the set of all rationals or the set of all reals.
What is the solution set of an equation of a circle?
The solution set is all points on the circle.
Derived Set of a set of Rational Numbers?
The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.
Does a set of all sets contain itself?
There is no such thing as a "set of all sets". To be more precise, the idea of a "set of all sets" leads to contradictions; therefore this term is avoided in set theory. Check the Wikipedia article on "Universal set" for more details.
