Question

List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a, b) € R if and only if a + b = 4

Answer 1

Please find the answer from  image,......................................

Answer 2

Given sets A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}

Also the given condition a + b = 4, where $(a, b) \in R$

What is the ordered pair of a set?

A set of ordered pairs is any pair of components that appear in a specific sequence and are wrapped in brackets. If there are two elements, "a" and "b," then the two distinct pairings are "(a, b)" (b, a). A is referred to as the first element and B is referred to as the second element in an ordered pair (a, b).

Now, from the condition  a + b = 4, we get

{(1, 3), (2, 2), (3, 1), (4, 0)}

Therefore, the set R = {(1, 3), (2, 2), (3, 1), (4, 0)}, where a + b = 4 for all $(a, b) \in R$.

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