Question

7.
Example 3. If A = (1, 2, 3, 4) and x, y e A, form the set of all ordered pairs (x, y) such that x is a divisor
of y​

Answer 1

Answer:

A relation R from the set A={2,3,4,5} to B={3,6,7,10} is defined as, (x,y)∈R⇒x is relatively prime to y.

Now, it is seen that 2 is relatively prime to 3, [HCF of 2 and 3 is 1]

So, (2,3)∈R

Similarly, 2 is relatively prime to 7 so that (2,7)∈R etc.

So, we get R={(2,3),(2,7),(3,7),(3,10),(4,3),(4,7),(5,3),(5,6),(5,7)}

Thus, domain ={2,3,4,5} and range ={3,6,7,10}

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