Intersect in Math Term

Introduction to Intersect in Math Terms

In math,the set X,Y and Z are the set of all elements of X, Y and the elements are also in Z is called the intersection set. That is one element available in all groups. The intersect in math term represented by the symbol of n. We can select the common element form that group. The intersect made in between two or more sets. We can draw the venn diagram in this intersect math term. Here we see the examples.

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Example 1


Find the intersect values from the following sets.

A={1,2,4,5,6} B={3,4,6,7,8}

Solution

The given sets are A={1,2,4,5,6}

B={3,4,6,7,8}

Now we find the intersect. That is the common values in the above sets.

The 4,6 is the common element in the above two sets.

So the AnB = {4,6}


Example 2


X={12,14,16,18,20} Y={10,13, 15,13,18} Z={12,13,18,20,21}

Find out the following intersect in math terms.

i)XnYnZ

ii)XnY

iii)XnZ

Solution

The given set is X={12,13,16,17,20} Y={10,13,15,13,18} Z={12,15,18,20,21}

i) XnYnZ

There is no common element from the above 3 sets.

So XnYnZ = {}

This is known as null set or empty set.

ii)XnY

The common elements from the above X and Y sets are 13

So XnY = {13}

iii)XnZ

The common elements from the above X and Z sets are 12 and 20.

So XnZ={12,20}

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Example 3


A={5,6,7,8} B={6,7,9,10}C={7,9,11,12}.Find the followingiin math term.

i)A-(BnC) ii) B-(AnC)

Solution

i)A-(BnC)

First find the BnC

BnC ={7,9}

Now find the A-(BnC)

We can take the numbers from A which is not in BnC.

The number is 5, 6, and 8

So the A-(BnC)={5,6,8}

ii) B-(AnC)

First we will find the An C

The common elements are in A and C is 7.

An C={7}

Now find the B-(AnC)

We take the element from B which is not in AnC.

So B-(AnC) = {6, 9,10}