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.

Union and intersection examples with solutions. Find the intersection of a and b and then make a venn diagrams. Union of two sets. Let a 1 2 3 and b 3 4 5. To make it easy notice that what they have in common is in bold.

However a and b must be union compatible. 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. 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.

The intersection of two sets is the set of elements which are in both sets. Either math or science. The intersection of two sets are those elements that belong to both sets. 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.

Summary of union vs. Next we illustrate with examples. Shade elements which are in p or in q or in both. 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.

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. The intersection of a and b written a b 3. The union of two sets are all the elements for both sets. First let a be the set of the number of windows that represents fewer than 6 windows.

The information on the probabilities of the six outcomes that we have so far is. Visual definition of intersection. We use and for intersection and or for union let s look at some more examples of the union of two sets. There is no need to list the 3 twice.

Intersection both union and intersection are the two fundamental operations through which sets can be combined and related to each other. Defines a relation consisting of a set of all tuple that are in both a and b. Draw and label a venn diagram to show the union of p and q. Science but not math.

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. Problems related to union and intersection of sets. Let counting numbers p multiples of 3 less than 20 and q even numbers less than 20. Math but not science.

Let the total number of students be u that is the. Find the number of students who like. An intersection is defined by the symbol a b.