Home
Class 8
MATHS
If A sub B, then the illustration of A -...

If `A sub B`, then the illustration of `A - B` in a Venn diagram is

A

B

C

D

None of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of illustrating \( A - B \) in a Venn diagram when \( A \) is a subset of \( B \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Terms**: - First, we need to understand what it means for \( A \) to be a subset of \( B \). This means that every element in set \( A \) is also an element of set \( B \). 2. **Defining the Sets**: - Let's denote the universal set as \( U \). - Set \( B \) will contain all the elements of set \( A \) and possibly more elements. 3. **Drawing the Venn Diagram**: - Draw a rectangle to represent the universal set \( U \). - Inside this rectangle, draw a circle for set \( B \). - Inside the circle for \( B \), draw another circle for set \( A \) such that the entire circle of \( A \) is within the circle of \( B \). 4. **Identifying \( A - B \)**: - The operation \( A - B \) represents the elements that are in \( A \) but not in \( B \). - Since \( A \) is a subset of \( B \), there are no elements in \( A \) that are not in \( B \). 5. **Conclusion**: - Therefore, \( A - B \) is an empty set, denoted as \( \emptyset \) or \( \phi \). - In the Venn diagram, this means that there is no shaded area representing \( A - B \) because there are no elements to illustrate. 6. **Final Answer**: - The illustration of \( A - B \) in a Venn diagram is an empty area, indicating that \( A - B = \emptyset \).

To solve the problem of illustrating \( A - B \) in a Venn diagram when \( A \) is a subset of \( B \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Terms**: - First, we need to understand what it means for \( A \) to be a subset of \( B \). This means that every element in set \( A \) is also an element of set \( B \). 2. **Defining the Sets**: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are disjoint then the illusations of A - B in a Venn diagram is

The relationship illustrated by the given Venn diagram is

If A={3,5,9}, B={5,7,9,11} then show the set A nn B in venn diagram.

Let A sub B sub U . Exhibit it in a Venn diagram.

In the following question, choose the Venn diagram, which best illustrates the three given classes Truck, goods, ship

Which of the following Venn diagram represent (A-B)?

If A={2,4,6} and B={1,2,3,4,5} , then show A uu B by using Venn diagram.