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Standard XII

Mathematics

Union

Let A and B b...

Question

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B.

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Solution

Given:
(x, 1), (y, 2), (z, 1) are in A × B
n(A) = 3 and n(B) = 2

$(x, 1) \in A \times B \Rightarrow x \in A, 1 \in B Similarly, y \in A, 2 \in B and z \in A, 1 \in B$

So, A = {x,y,z} and B = {1,2}

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Similar questions

Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1)\) are in $A \times B,$ find A and B, where x,y,z are distinct elements.

Q. Let

A

and

B

be two sets such that

n (A) = 3

and

n (B) = 2

. If

(x, 1), (y, 2), (z, 1)

are in

A \times B

find

A

and

B

where

x, y

and

z

are distinct elements

Q. Let

A

and

B

be two sets such that

n (A) = 3

and

n (B) = 2

. If

(x, 1), (y, 2), (z, 1)

are in

A \times B

, then find

A

and

B

, where

x, y, z

are distinct elements.

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Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B.

Given: (x, 1), (y, 2), (z, 1) are in A × B n(A) = 3 and n(B) = 2 (x,1) ∈A×B ⇒ x∈A , 1∈BSimilarly, y∈A, 2∈Band z∈A, 1∈B So, A = {x,y,z} and B = {1,2}

Given:
(x, 1), (y, 2), (z, 1) are in A × B
n(A) = 3 and n(B) = 2

$(x, 1) \in A \times B \Rightarrow x \in A, 1 \in B Similarly, y \in A, 2 \in B and z \in A, 1 \in B$

So, A = {x,y,z} and B = {1,2}