If A = {2,3,4,5), then write the relation R on A, where R = {(a,b): a + b = 6]
Answers
Answer:
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Step-by-step explanation:
Answer:
The relation R defined on A, where R = {(a,b): a+b = 6} is {(2,4), (3,3), (4,2)}
Step-by-step explanation:
Given that,
'A' is a set that contains {2,3,4,5}.
A relation R is defined on 'A' such that R = {(a,b): a+b = 6} where a,b ∈ A
From the given elements of A, there are only 3 pairs of (a,b) ∈ A that satisfy the condition in R.
When a = 2, b = 4 satisfies the relation
When a = 3, b = 3 satisfies the relation
When a = 4, b = 2 satisfies the relation
So, R = {(2,4), (3,3), (4,2)}
Therefore, the relation R defined on A, where R = {(a,b): a+b = 6} is {(2,4), (3,3), (4,2)}
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