Let A={2,3,4,5} and B ={3,6,7,10}.Let R={(x,y):x∈A,y∈B and x divides y}.Which element is common between the domain and range?

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Let A = { 2, 3, 4, 5} and B = {3, 6, 7, 10}. Let R = {(x,

Question

Let $A = {2, 3, 4, 5}$ and $B = {3, 6, 7, 10}$ .
Let $R = {(x, y) : x \in A, y \in B$ and $x$ divides $y}$ .
Which element is common between the domain and range?

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Sofia Discussed

Let

A = {2, 3, 4, 5}

and

B = {3, 6, 7, 10}

.
Let

R = {(x, y) : x \in A, y \in B

and

x

divides

y}

.
Which element is common between the domain and range?

9 mins ago

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9 mins ago

Let

A = {2, 3, 4, 5}

and

B = {3, 6, 7, 10}

We have given that,

R = {(x, y) : x \in A, y \in B an d x d i v i d es y}

Thus, all the corresponding ordered pairs are,

(2, 6), (2, 10), (3, 3), (3, 6), (5, 10)

Thus,

R = {(2, 6), (2, 10), (3, 3), (3, 6), (5, 10)}

∴ d o m (R) = {2, 3, 5}

r an g e (R) = {3, 6, 10}

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Question Text	Let $A = {2, 3, 4, 5}$ and $B = {3, 6, 7, 10}$ . Let $R = {(x, y) : x \in A, y \in B$ and $x$ divides $y}$ . Which element is common between the domain and range?
Answer Type	Text solution:1
Upvotes	150