If U is the set of all integers, and M = {x|x is an integer between 8 and 30}, find the complement of set M. Which set is the complement of set M? ▶ A. M²= {x | x is an integer ≤ 8 or > 30} ▶ B. M²= {x | x is an integer < 7 or > 31} ▶ C. M² = {x | x is an integer ≤7 or 231} D. M' = {x | x is an integer < 8 or > 30}

Q: 8.) What is the distance between an airplane flying at 120 feet above sea level and a turtle…

A: We find the distance between an airplane flying at 120 feet above sea level and a turtle swimming at…

Q: Which of the following sets are close under MULTIPLICATION? Choose ALL that apply. I. The set of…

A:

Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

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

A:

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: If R = {1, 4, 6, 7) and T = {4, 7, 9), find the following sets. (A) {x| XER or xET) (B) RUT (A)…

A:

Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

A:

Q: Use the laws of the Algebra of Sets to Simplify each of the following: a. (P V Q) ^~ P b. PV (PAQ)…

A: The important laws of algebra used for simplifying the expressions are as follows. Distributive…

Q: Let D₁ = {x E RI-i ≤x≤i} = [-i,i] for all nonnegative integers i. (If i = 0, then Do = {0}.)…

A: The difference of two sets A and B is the set those elements which are in A but not in B .

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10. Find An B…

A:

Q: 5.PT. PLN has $140000 to invest. The alternative investments and the corresponding annual returns…

A: According tot he given information it is required to form an linear programming problem for the…

Q: b. How many elements are in the set {a, {a, b}, {a} }? C. For each positive integer x, let A1` =…

A: Use the definition of set and its elements to solve this problem as in next step.

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Q14A. Define the sets A, B, C, and D as follows: A = {-3, 1, 6, 7, 10} B = {-10, -5, 1, 4, 6} C =…

A: The given problem is to find the intersection of sets B and D with the given defined sets A,B,C,D.

Q: Let A be the set of all positive integers whose last two digits form a number that is evenly…

A: We have the given condition as   Let us consider A be the set of all positive integers whose last…

Q: numbers

A: We have to choose the correct option according to the given information

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

A: We have to check whether the given statement is true or false.

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

A:

Q: Q15A. Define the sets A, B, C, and D as follows: A = {y EZ:2 < y ≤ 9 and y is odd}. B = {1, 4, 6} C…

A:

Q: Let X be a set of integers. How many integers are needed to guarantee that there is a difference…

A: We shall be using the Pigeonhole principle

Q: 5. Given number lines and its set notations. Choose the CORRECT pair. A. в. -2 -2 1 {x}-{Sxs:2…

A:

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Find the number of relations from the set A {a, b, c} to the set B = {1,3}

A:

Q: Another operation that can be defined on sets A and B is the difference of the sets, denoted by A −…

A: First we have to find B' (complement of B)

Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

A:

Q: 2. What is the domain of the function x)- dx+6 in set notation? a. xS-6 b. x2-6 C. x20 d. xS0

A: Domain of the given function is given by

Q: Let IR be the set of real numbers, A = {r e IR: 5<x< 10}, B = {x e R: 73x<20}, C = (0, 10], D = (9,…

A:

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…

Q: VII.1. Describe the set (R × Z) ∩ (Z × R)

A: We have to describe the set (R × Z) ∩ (Z × R).

Q: I. TRUE OR FALSE. Write 1 if the statement is always true. Otherwise write 0. 8. For any sets A, B,…

A:

Q: Let ai = [250] -10 and a2 = h [4] The set {a1, a2} will span R² unless h = (If there are no values…

A:

Q: Question 1. Use set builder notation to describe each of the following sets. (a) All positive…

A: