ANAND CLASSES

  Union of two   sets  means finding a set containing all the values in both sets. It is denoted using the symbol  ‘∪’   and is read as the union. Example 1: If A = {1, 3. 5. 7} and B = {1, 2, 3} then A∪B is read as A union B and its value is, A∪B = {1, 2, 3, 5, 7} Example 2: If A = {1, 3. 5.7} and B = {2, 4} then A∪B is read as A union B and its value is, A∪B = {1, 2, 3, 5, 7} Example 3: If A = {1, 2, 3}, B = {2, 4} and C = {1, 3, 4} A∪B∪C = {1, 2, 3, 5} The union of the set can also be represented using the Venn Diagrams. For example, if we have set A and set B which have some values in common then their Venn diagram is represented in the image below, We can represent any set using the Venn diagram in the Venn diagram explained above the rectangle represents the Universal set, and set A and set B are represented using the circles. The common area of the two sets represents the intersection of the two sets and both the circles combined along with the common are...

Sets are fundamental in mathematics and are collections of distinct objects, considered as a whole. In this topic, we will explore the basic operations you can perform on sets, such as union, intersection, difference, and complement. These operations help us understand how sets interact with each other and allow us to solve various problems in mathematics and beyond. Table of Contents What is Set? Operations on Sets Intersection of Sets   Union of Sets Complement or Difference Between Sets Universal Set and Absolute Complement Universal set Absolute complement Subset and Proper Subset Subset Proper subset (also called strict subset) Superset and Proper Superset Superset Proper superset (also called strict superset) Bringing the Set Operations Together De Morgan’s laws Formula for the Cardinality of Union and Intersection Problems on Operations on Sets – Union & Intersection Operations on Sets – Solved Examples Practice Problems on Operations on Sets Summary FAQs on Operations o...