What is Proper and Improper Subset? - Chapter 1

Proper and Improper Subset – 9th and 10 Maths

Proper and Improper Subset – 9th and 10 Maths

In Today’s Student Tube lecture we will discuss about Proper and Improper Subsets from Exercise 1.1 – Chapter 1 (9 & 10 Mathematics – Sindh Board Education)

What is Subset?

A set A is a subset of another set B if all of its elements are also members of the set B. In other words, set A is found within set B. The subset relationship is denoted by symbol  A⊂B.

Example of Subset:

For example, if set A has {1,2} and set B has {1,2,3,} then A is a subset of B since elements of set A are present in set B.

What is a Proper subset?

A is a proper subset of B if and only if, every element of A in B, but there is at least one element of B that is not in A.

What is Improper subset?

Improper subset is a subset containing every elements of the other set.

Example of Proper subset:

A = { 1, 3, 5 } And B = {1, 2 3, 5,}

A set is “A” subset of “B” because all the elements of set “A” are in “B” but there is an element 2 of B which is not in A.

Example of Improper subset:

Let A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Subsets of the Set A are:

B= { 1, 2, 3, 4}

C= { 6, 7, 8, 9}

D = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

now, B and C sets are proper subsets while set D contains all the elements of the original set.

Hopefully, this video was helpful for you, we are trying to provide free quality education video of schools, college, and university syllabus, we started from Sindh Board Education and after completion, we will move to other boards, right now you can find matric mathsphysicsEnglish and i.combusiness math complete book on our youtube and we are upload more very soon, also we have essays on all the topics you can find here, we have awesome lectures on English grammar and basics of information technology. you can support us by subscribing to our youtube and share this website with your classmates and friends.