Union And Intersection Examples With Solutions

The intersection of two sets are those elements that belong to both sets.

Union and intersection examples with solutions. There are 500 students in a school 220 like science subject 180 like math and 40 like both science and math. 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 is the set of elements which are in both sets. Shade elements which are in p or in q or in both.

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. However a and b must be union compatible. The information on the probabilities of the six outcomes that we have so far is.

Summary of union vs. Find the number of students who like. We use and for intersection and or for union let s look at some more examples of the union of two sets. Draw and label a venn diagram to show the union of p and q.

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. Union of two sets. Problems related to union and intersection of sets. Math but not science.

To make it easy notice that what they have in common is in bold. Sometimes there will be no intersection at all. Now the union of a and b written a b 1 2 3 4 5. Defines a relation consisting of a set of all tuple that are in both a and b.

Visual definition of intersection. Union and intersection the basic idea of the union and intersection of two sets. A union is often thought of as a marriage. Intersection both union and intersection are the two fundamental operations through which sets can be combined and related to each other.

Science but not math. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. Let the total number of students be u that is the. An intersection is defined by the symbol a b.

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. 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. Either math or science. Since the die is fair all outcomes are equally likely so by counting we have p e cap t frac 2 6.

First let a be the set of the number of windows that represents fewer than 6 windows. Find the intersection of a and b and then make a venn diagrams. There is no need to list the 3 twice.