For example: let A = (1,2,3) and B = (3,4,5). But certainly, expertise to solve the problem, special tools, techniques, and tricks as well as knowledge of all the basic concepts are required to obtain a solution.Following are some of the operations that are performed on the sets: – For example, set A={2,3} and set B={4,5} are disjoint sets. Subset intersection: sometimes, various sets are different but share some common elements. We use "and" for intersection" and "or" for union.Let's look at some more examples of the union of two sets. Look for jobs where demand is high, and supply is short. Draw and label a Venn diagram to show the union of P and Q. Operations on Sets. But set C={3,4,5} and {3,6,7} are not disjoint as both the sets C and D are having 3 as a common element. Example \(\PageIndex{2}\): Union of Two sets. A pair of sets which does not have any common element are called disjoint sets. An example of a linguistic aplication is using "natural language" like English for the Americans or Spanish for Mexicans. Simply stated, the intersection of two sets A and B is the set of all elements that both A and B have in common. Scroll down the page for more examples and solutions. Unlike the real world operations, mathematical operations do not require a separate no-contamination room, surgical gloves, and masks. Analysis: Shade elements which are in P or in Q or in both. A set in math is simply a group of things. Conclussions The INTERSECTION of A and B, written A B = (3). Intersection Of Two Sets Intersection Of Three Sets. Review: What are Sets and Subsets? Supply and Demand Real Life Examples – Use It or Lose It. Write this in set notation as the union of two sets and then write out this union. Second aplication Linguistic aplication. More formally, x ∊ A ⋃ B if x ∈ A or x ∈ B (or both) The intersection of two sets contains only the elements that are in both sets. The union of two sets contains all the elements contained in either set (or both sets). An example of a logical aplication is using the rules of inference. For example, we have a set of girls and another set of people who wear glasses. Example \(\PageIndex{4}\): Intersection of Two sets. The INTERSECTION of two sets is the set of elements which are in both sets. Example 2: Let = {counting numbers}, P = {multiples of 3 less than 20} and Q = {even numbers less than 20}. Union, Intersection, and Complement. Consider the following sentence, "Find the probability that a household has fewer than 6 windows or has a dozen windows." The intersection is notated A ⋂ B. The union is notated A ⋃ B. In that case we say the answer is the "empty set" or the "null set" . The following diagrams show the set operations and Venn Diagrams for Complement of a Set, Disjoint Sets, Subsets, Intersection and Union of Sets. 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