Question

If A = { 1 , 2 , 3 } and B = { 4 , 5 , 6 } . Find A × B .

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Answer 1

$\bigstar\:\:\underline{\sf AnsWer :} \bigstar$

Here, A = A = {1 , 2 , 3} B = { 4 , 5 , 6}

Then A×B=(1,4),(1,5),(1,6)(2,4)(2,5)(2,6)(3,4)(3,5),(3,6)

Let R2 =(1,6),(2,6),(3,6)

(1,6)∈A×B

(2,6)∈A×B

(3,6)∈A×B

R2 ⊆A×B

R2 =(1,6)(2,6)(3,6)

Hence R2 is a relation from A to B.

Answer 2

Answer:

$\huge \mathfrak \pink{ANSWER}$

Here, A = A = {1 , 2 , 3} B = { 4 , 5 , 6}

Then A×B=(1,4),(1,5),(1,6)(2,4)(2,5)(2,6)(3,4)(3,5),(3,6)

Let R2 =(1,6),(2,6),(3,6)

(1,6)∈A×B

(2,6)∈A×B

(3,6)∈A×B

R2 ⊆A×B

R2 =(1,6)(2,6)(3,6)

Hence R2 is a relation from A to B.