Mathematics, 28.08.2020 21:01 taylordalton93
For each relation, indicate whether it is reflexive or anti-reflexive, symmetric or anti-symmetric, transitive or not transitive.
a. The domain of the relation L is the set of all real numbers. For x, y ∈ R, xLy if x < y.
b. The domain for the relation D is the set of all integers. For any two integers, x and y, xDy if x evenly divides y. An integer x evenly divides y if there is another integer n such that y = xn. (Note that the domain is the set of all integers, not just positive integers.)
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For each relation, indicate whether it is reflexive or anti-reflexive, symmetric or anti-symmetric,...
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