Let A = {2, 4, 6, 8}. A relation R on A defined by R = {(2, 4), (4, 2), (4, 6), (6, 4)} is symmetric.Group startsTrue or FalseTrue, unselectedFalse, unselected
Question
Let A = {2, 4, 6, 8}. A relation R on A defined by R = {(2, 4), (4, 2), (4, 6), (6, 4)} is symmetric.
Group starts
True or False
True, unselected
False, unselected
Solution
To determine if the relation R on set A = {2, 4, 6, 8} is symmetric, we need to check if for every (a, b) in R, (b, a) is also in R.
Given that R = {(2, 4), (4, 2), (4, 6), (6, 4)}, let's check if (4, 2) is in R.
Since (4, 2) is indeed in R, we need to check if (2, 4) is also in R.
Since (2, 4) is in R, we can conclude that for every (a, b) in R, (b, a) is also in R.
Therefore, the relation R on set A is symmetric.
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