Question

*Out of the following which set is not a subset of set A = { 1, 3, 4, 7, 8}*

1️⃣ {7, 3, 1 , 8}
2️⃣ {1, 3, 4, 7, 8}
3️⃣ {1, 3, 5, 7}
4️⃣ {3, 4, 7 }​

Answer 1

Answer:

I suppose 2️⃣{1,3,4,7,8}

Step-by-step explanation:

Types of Sets

Since, a Set is a well – defined collection of objects; depending on the objects and their characteristics, there are many types of Sets which are explained with suitable examples, as follows: –

Empty or Null or Void Set

Any Set that does not contain any element is called the empty or null or void set. The symbol used to represent an empty set is – {} or φ. Examples:

Let A = {x : 9 < x < 10, x is a natural number} will be a null set because there is NO natural number between numbers 9 and 10. Therefore, A = {} or φ

Let W = {d: d > 8, d is the number of days in a week} will also be a void set because there are only 7 days in a week.

Answer 2

Solution :-

given ,

A = {1, 3, 4, 7, 8}

So, some subset of A are :-

• { } = Empty set is a subset of every set .
• {1}, {3}, {4}, {7}, {8}
• {1,3}, {1,4}, {1,7}, {1,8}, {3,4},{3,7}, {3,8}, {4,7}, {4,8}, {7,8}
• {1,3,4,7,8}

checking given options now, we get,

(1) {7,3,1,8}

→ A = {1, 3, 4, 7, 8}

since all the elements of given set are present in set A , therefore, we can conclude that, Option (1) is subset of set A .

(2) {1, 3, 4, 7, 8}

A = {1, 3, 4, 7, 8}

since all the elements of given set are present in set A , therefore, we can conclude that, Option (2) is subset of set A .

(3) {1, 3, 5, 7}

A = {1, 3, 4, 7, 8}

since element 5 of given set is not present in set A , therefore, we can conclude that, Option (3) is not subset of set A .

(4) {3, 4, 7 }

A = {1, 3, 4, 7, 8}

since all the elements of given set are present in set A , therefore, we can conclude that, Option (4) is subset of set A .

Hence, Option (3) is correct answer .

Learn more :-

A={2,5,7,8,9,} and B={7,8,10,11} then A ∆ B

https://brainly.in/question/44683642