In the questions below determine whether the set is finite or infinite. If the set is finite, find its size. (a) {x |x € Z and x < 10}. (b) P(A), where A = P({1,2}).

Q: (a) Explain with cases why, if a is a real number,  then a ≤ |a|. (b) Explain, if, for any real…

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Q: 1. Let X be the set of real numbers with the usual pseudometric. Find the derived set and the…

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Q: (3c) Consider the open sentences P(x):x² > 1 and Q (x): x >1 over the domain S = R. Determine all x…

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Q: Let A = {1, 2, 3, 4, 6}. Let R be therelation on A defined by {(a, b): a , b ∈A, b is exactly…

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Q: d) Let the set A = {1, 2, 3,4} and let P(A) denote the power-set of A. Consider the following…

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Q: 2. For all sets X, Y and Z, determine whether each of the statement is true or false. If it is true,…

A: (a) False. We know that if a set A has cardinality n , then it's power set P(A) has cardinality 2n…

Q: х+ 10 if 0 6 f(x) =

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Q: F and H are sets of real numbers defined as follows. F={y|y21} H= {y |y>7} Write FUH and FnHusing…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: T or F True or not: Every nonempty set of rational numbers that is bounded has a largest number.

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Q: Find the Domain of f-1, if f(x) = 2(x – 7)² Domain: y is all real numbers Domain: x > 0 Domain: y >…

A: The range of a function f(x) is the domain of the inverse function f-1(x). The domain of f(x) is the…

Q: For each relation below, answer whether it is reflexive, whether it is symmetric, and whether it is…

A: A relation is called Reflexive if the relation follows of the ordered pair (x,x).Its called…

Q: Let X be a set (P(X), Δ,∩) where P(X) is the power set of X, and Δ is the symmetric difference. It…

A: Unity: Let R, +, ∘ be a ring. If the semi-group R, ∘ has identity element then it is called as unity…

Q: x² – 4 Ax) xx – 2

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