1. List the elements of each of the following sets by using the roster method. (a) the set of all days in a week that bocipa (b) (c) (d) The set of all positive integers greater than 12 and less than or equal to 6. (e) {xx E N, x is odd, and x < 15} (f) {x|x € Z and 2x² + 5x - 3 = 0} (g) {x|x € Q and 2x² + 5x − 3 = 0} (h) {z z € C and z4 = 1} (i) {(x, y) x = Z, y € Z, and 0 < x

Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

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Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: (2) Is the set {r € Rr² € N} countable? Justify your answer.

A: Yes the set A={x €R : x2 €N } is countable

Q: etermine whether the set of x-2x²,2+5x-x²x+x²} is linerly independent in P

A: First we use definition of linearly independent Set and we check given vectors are linearly…

Q: In this group of problems, you are given two statements, A and B: determine whether one statement…

A: Solution

Q: Prove: For all integers n, if (n + 1)2 is an even number, then n is an odd number. ii. Prove the…

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Q: The counterexample of A = {1} and B = Ø disproves which of the following statements where P(X)…

A: Given that A=1,B=∅. For (a). PA∩B=P1,∅∩∅=P∅=∅ And, P(A)∩P(B)=P1∩P(∅)=1,∅∩∅=∅ Hence statement of (a)…

Q: List all of the elements in the following set: {x € Z | 3|x and |x| < 10}.

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Q: Given the following relations on the set of all integers where (x, y) = R if and only if the…

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Q: Determine whether each of the following is a unary operation on the given set. a. h(x) == on N b.…

A: A unary operation is an operation that takes a single input and produces a single output.Then the…

Q: Determine if the following sets are closed under multiplication. a. {1,14} b. {2k + 7 KEW} C. c.…

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Q: (10) Prove that P(A)n P(B) is equal to P(An B) for any sets A and B. What can we say if the…

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Q: Let S = {-2, -1, 0, 2, 1, √2, 2, 4). Determine which elements of S satisfy the inequality. ( 2-1 2x

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Q: Number 3

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Q: Find the complement of the following sets: {x x > 5 and x E W} The set of integers greater than 4 or…

A: Complement set consists all the elements of universal set other than the elements of the set in the…