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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A relation $R$ on the set of real numbers is defined by: $(a, b) \in R$ when $(a - b)(a - 2b) \le 0$ . Which of the following describes $R$ correctly, as to being reflexive, symmetric and transitive?

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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.Let f(x) = (x - 1)/(x + 1), and write fⁿ for f applied n times, so that f²(x) = f(f(x)). Starting from x = 3, every step stays inside the domain of f. What is the value of f²⁰²⁶(3)? →

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