Definition:
Given two sets A and B, the intersection is the set that contains elements or objects that belong to A and to B at the same time
We write A ∩ B
Basically, we find A ∩ B by looking for all the elements A and B have in common. We next illustrate with examples
Example #1.
To make it easy, notice that what they have in common is in bold
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.
Find the intersection of A and B and then make a Venn diagrams.
A = {b, 1, 2, 4, 6} and B = { 4, a, b, c, d, f }
A ∩ B = {4, b}
Example #3.
A = { x / x is a number bigger than 4 and smaller than 8}
B = { x / x is a positive number smaller than 7}
A = { 5, 6, 7} and B = { 1, 2, 3, 4, 5, 6}
A ∩ B = {5, 6}
Or A ∩ B = { x / x is a number bigger than 4 and smaller than 7}
Example #4.
A = { x / x is a country in Asia}
B = { x / x is a country in Africa}
Since no countries in Asia and Africa are the same, the intersection is empty
A ∩ B = { }
Example #5.
A ∩ B = { }
We write A ∩ B ∩ C
Basically, we find A ∩ B ∩ C by looking for all the elements A, B, and C have in common.
A = {#, 1, 2, 4, 6}, B = {#, a, b, 4, c,} and C = A = {#, %, &, *, $, 4 }A ∩ B ∩ C = {4 , # }
The graph below shows the shaded region for the intersection of two sets
Apr 02, 19 05:34 PM
Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions
Basic math formulas
Algebra word problems
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.
Recommended
Scientific Notation Quiz
Graphing Slope Quiz
Adding and Subtracting Matrices Quiz
Factoring Trinomials Quiz
Solving Absolute Value Equations Quiz
Order of Operations Quiz
Types of angles quiz
Apr 02, 19 05:34 PM
Learn about equivalent, benchmark, multiplying, dividing, adding and subtracting fractions