An equivalence relation on a set is reflexive, symmetric and transitive. How many equivalence relations on the set {1, 2, 3, 4} contain the ordered pair (1, 2)? Two relations are different when they do not contain exactly the same ordered pairs.

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An equivalence relation on a set is reflexive, symmetric and transitive. How many equivalence relations on the set $\{1, 2, 3, 4\}$ contain the ordered pair $(1, 2)$ ? Two relations are different when they do not contain exactly the same ordered pairs.

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← A function f is defined for every real x other than 0 and 1, and it satisfies f(x) + f ((x - 1)/x) = 1 + x for every such x. What is the value of f(2)?A relation R on the set of real numbers is defined by: (a, b) ∈ R when (a - b)(a - 2b) ≤ 0. Which of the following describes R correctly, as to being reflexive, symmetric and transitive? →

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