Maths-
General
Easy

Question

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

Hint:

 Cartesian product of A and B is denoted by A X B and it is defined as set og all ordered pairs (a, b) such that a element of A text  and  end text b element of B

The correct answer is: {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}


    We have given the two sets
    A = {1, 2, 3, 5} and B = {4, 6, 9}
    And
    R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}
    First of all we will find the cartesian product of set A and set B
    A X B = {(1,4),(1,6),(1,9),(2,4),(2,6),(2,9),(3,4),(3,6),(3,9),(5,4),(5,6),(5,9)}
    We have relation R , with condition difference between x and y is odd, in this cartesian product we will find out the points satisfying the condition.
    So, R in roaster form is
    R = {(1,4),(1,6),(2,9),(3,4),(3,6),(5,4),(5,6)}

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