In set theory, A relation R on a set A is called asymmetric if no (y,x) ∈ R when (x,y) ∈ R. Or we can say, the relation R on a set A is asymmetric if and only if, (x,y)∈R⟹(y,x)∉R. Example: If A = {2,3} and relation R on set A is (2, 3) ∈ R, then prove that the relation is asymmetric. More example sentences. ‘Power is always an asymmetrical relationship based on different knowledge and its unequal distribution.’ ‘But it will have to adapt quickly to what has so far been an asymmetrical relationship.’ ‘Dependency implies subservience in a power relationship which is highly asymmetrical.’ Not all asymmetric relations are strict partial orders. ( Asymmetric relation: Asymmetric relation is opposite of symmetric relation. A symmetric relation is a type of binary relation. The lender has difficulty knowing whether it is likely the borrower will default. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … An example of an asymmetric relation is the "less than" relation < between real numbers: if x < y, then necessarily y is not less than x. Hence, less than (<), greater than (>) and minus (-) are examples of asymmetric. Symmetric keys are frequently 128 bits, 192 bits, and 256 bits, whereas asymmetric keys are recommended to be 2048 bits or greater. ) Hence, less than (<), greater than (>) and minus (-) are examples of asymmetric. Limitations and opposites of asymmetric relations are also asymmetric relations. For example, the strict subset relation ⊊ is asymmetric and neither of the sets {3,4} and {5,6} is a strict subset of the other. In discrete Maths, an asymmetric relation is just opposite to symmetric relation. SHARE. For e.g., if a bank sets a fixed price for all its checking account, the low balance and high activity customers would be severely impacted and may shift to another option. The diagonals can have any value. 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