CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Venn Diagram

In the Venn d...

Question

In the Venn diagram $n (A) = 10, n (B) = 13, n (A \cap B) = x$ and $n (A \cup B) = 18$ .
Add together the number of elements in the three parts of the diagram to obtain the equation $10 - x + x + 13 - x = 18$ .

Open in App

Solution

$n (A) = 10 n (B) = 13 n (A \cup B) = 18 n (A \cup B) = n (A - B) + n (B - A) + n (A \cap B) 10 - x + x + 13 - x = 18$

Suggest Corrections

thumbs-up

0

Similar questions

Q. In the Venn diagram

n (A) = 10, n (B) = 13, n (A \cap B) = x

n (A \cup B) = 18

.
Hence find the number of elements in both

A

B

.

Q. In the Venn diagram

n (A) = 10, n (B) = 13, n (A \cap B) = x

n (A \cup B) = 18

.
Write in terms of

x

the number of elements in

A

B

.

A and B are two sets such that n (A - B) =14 + x, n(B - A) = 3x and n(A $\cap$ B) = x.

Draw a Venn diagram to illustrate information and if n(A) = n(B), then find the value of x.

A

B

are two sets such that

n (A - B) = 32 + x, n (B - A) = 5 x

n (A \cap B) = x

Illustrate the information by means of a Venn diagram. Given that

n (A) = n (B)

.
Calculate (i) The value of

x

n (A \cup B)

A \cup B = {1, 2, 3, 5, 6, 7, 9}, B = {2, 5, 7, 9}, A \cap B = {2, 5}

, then represent

A, B

in Venn-diagrams and verify the relation

n (A \cup B) + n (A \cap B) = n (A) + n (B)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Venn Diagrams

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon