Union And Intersection Examples With Solutions

Union and intersection the basic idea of the union and intersection of two sets.

Union and intersection examples with solutions. An intersection is defined by the symbol a b. We use and for intersection and or for union let s look at some more examples of the union of two sets. To make it easy notice that what they have in common is in bold. Find the intersection of a and b and then make a venn diagrams.

There are 500 students in a school 220 like science subject 180 like math and 40 like both science and math. There is no need to list the 3 twice. Consider the following sentence find the probability that a household has fewer than 6 windows or has a dozen windows write this in set notation as the union of two sets and then write out this union. However a and b must be union compatible.

The union of two sets are all the elements for both sets. Find the number of students who like. Since the die is fair all outcomes are equally likely so by counting we have p e cap t frac 2 6. A union is often thought of as a marriage.

In both cases the sample space is s 1 2 3 4 5 6 and the event in question is the intersection e cap t 4 6 of the previous example. Let a 1 2 3 and b 3 4 5. Sometimes there will be no intersection at all. Union of two sets.

The intersection of two sets is the set of elements which are in both sets. Next we illustrate with examples. Defines a relation consisting of a set of all tuple that are in both a and b. Science but not math.

First let a be the set of the number of windows that represents fewer than 6 windows. Problems related to union and intersection of sets. Union of sets and complement learn the union of sets and the complement of the union of sets how to shade the union intersection and complement of two sets illustrate union and intersection of sets with venn diagrams with video lessons examples and step by step solutions. Now the union of a and b written a b 1 2 3 4 5.

The intersection of a and b written a b 3. Let the total number of students be u that is the. The information on the probabilities of the six outcomes that we have so far is. Math but not science.

Intersection both union and intersection are the two fundamental operations through which sets can be combined and related to each other. In terms of set theory union is the set of all the elements that are in either set or in both whereas intersection is the set of all distinct elements that belong to both the sets. Shade elements which are in p or in q or in both. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20.

Summary of union vs. Let a 1 orange 1 pineapple 1 banana 1 apple and b 1 spoon 1 orange 1 knife 1 fork 1 apple a b 1 orange 1 apple example 2. The intersection of two sets are those elements that belong to both sets.