Question

For A = {6, 10, 14) and B=(3,5,7) find the relation y = 1/2 x in AxB

Answer 1

By taking A as our domain and B as our range, we will see that the relation is {(6, 3), (10, 5), (14, 7)}

Here we have:

• A = {6, 10, 14}
• B = {3, 5, 7}

And we want to find the relation:

y = (1/2)*x in AxB.

So, we take values from A, and we input them in the given function, and then we must see if the outcome is in B.

For each value in A we will have:

y = (1/2)*6 = 3

(6, 3)

y = (1/2)*10 = 5

(10, 5)

y = (1/2)*14 = 7

(14, 7)

So we have 3 points that define the relation in AxB:

{(6, 3), (10, 5), (14, 7)}

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