Basic Understanding of Sets and Its Operations

There are various operations on sets which must be mastered to completely understand them. Some of them are intersection, union and so on. These operations have to be learnt. The sets and set operations form an integral part of mathematics. The terms Venn diagrams and set operations are closely related to each other. Venn diagrams can be used to explain various operations. The operations with sets can be fun to work with.  The union will give all the elements present in both the sets. The intersection will give the common elements. This is the basic difference between the two operations and can be easily understood.

Venn diagrams can be very helpful in this. They are graphical representation of the sets. It is always to better to explain a concept using a diagram. It improves the clarity of the concept and also makes the concept easy to understand. Venn diagrams do a great deal in achieving this. The set operations math can be understood using them.  Cardinality is another important concept that has to be learnt. It basically denotes the number of elements. It is not tough to find the number of elements but a term has been assigned for the same. So, there is nothing much to worry about it. It is quite a easy concept and can be easily learnt. There can be various types of sets like empty, unit and sometimes even special ones. Empty ones are those which have no elements in them. Unit ones are those which will be having only a single element in them.

There are several others like ones for prime numbers which is denoted by the letter ‘P’. There is also one for the natural numbers which is usually denoted by the letter ‘N’. The integer one contains both the positive and negative integers. Also there is one which contains all the real numbers in it. There can also be sets for rational numbers and complex. Rational numbers are contained in the former and the complex numbers are contained in the latter. There is similarity between all of them. The only difference being that the natures of elements vary in each of them. This is the basic difference and has to be understood. Once this is understood the concept becomes easy to understand and apply. It is not a complex subject and can be understood with a little bit of practice.