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
Aug 09, 16 01:40 PM
Average age of Dipu and Apu is 22 years. Average age of Dipu and Tipu is 24 years. Age of Dipu is 21 years. What are the ages of Apu, and tipu ? Let
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