etermine if the set is the empty set. {x | x is a number less than 3 or greater than 15}

Q: 15. Let C = {(2n + 1)³: n E R } and D = {2n + 1:n € R}. What is the relation between these two sets?…

A: Let us consider the set A and B then, If all the elements in the set A is in B then A is said to be…

Q: Determine if the set is the empty set. {x|XEN and 7 <x< 14} Choose the correct answer below. The set…

A: We have given set {x | x in N and 7&lt; x &lt; 14 } This set in roster form { 8, 9, 10 , 11, 12, 13}

Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

A:

Q: Find the cardinal number for the following sets. A = {104, 105, 106, 107,..., 158} B = {104, 106,…

A: Cardinality of a set is the number of elements in a set.

Q: of subsets for M = {x | x is an integer between 1 and 7} Set M has subsets.

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

Q: True or False? 9. Let A, B, and C be any sets then C − (A ∩ B) = (C − A) ∪ (C − B).

A:

Q: Write ALWAYS if the statement is always true, SOMETIMES if it is sometimes true, somet false, and…

A:

Q: Find all integral values of y that make the inequality true. Use interval notation to describe the…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Find the number of subsets for the set. M = {x|x is an integer between 4 and 11} Set M has subsets.

A:

Q: Let A and B be nonempty sets of real numbers. If sup B exists then sup (A U B) exists if A is…

A: let A and B be nonempty subsets of reals.

Q: Let A be a subset of the real numbers. A number s is called a least upper bound for the set A…

A: Since you have posted a multi subparts question according to guidelines I will solve first(a,b,c)…

Q: Use set-builder notation to describe all real numbers satisfying the given conditions. Four times…

A: Four times the sum of one and a number is denoted as 4n+1 where 'n' is a number as mentioned.

Q: B={1, 2, 3, 4, 5, 6} B is the set of natural numbers less than or equal to

A: given data B = {1,2,3,4,5,6} B is the set of natural numbers less than or equal to.....

Q: Find

A: First we write U as universal set. Then find complement.

Q: 3. A proper subset of a set S is a subset of S which is not equal to S itself. Some people write "A…

A: Introduction: If Set B has at least one member that is absent from Set A, Set B is said to be a…

Q: Which of the following sets are uncountable? The set of reals R The set of rationals Q The set of…

A:

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

Q: List the elements of the given set. the set N of all negative integers greater than or equal to −2 N…

A: We have to find the set of all negative integers greater than or equal to-2 . The solution is…

Q: Find two sets: Find sets A and B such that JA| -4, 8|-6 and JA or B-8. How large is A and B|? 3…

A:

Q: Write the set shown beow in set-builder notation. {18, 21, 24, 27,.., 48} ..... O A. {x|x is a…

A: To write the given set in set-builder notation.

Q: C and D are sets of real numbers defined as fo C={x |x< 4} D= {x |xs7} Write Cn D and CUD using…

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: Rewrite the set G by listing its elements. Make sure to use the appropriate set notation. G={x| X is…

A: Use the given information.

Q: The sets {2, 4, 6} and {1, 3, 5} are equal sets. All relation is a function. The simplified form of…

A: To write a true or false for given statements.

Q: Let A and B be sets. The union of A and B is A U B = {x|x € A V x € B}. The intersection of A and B…

A: Let A and B be two sets. We need to prove that A ∪ B = A ∩ B¯. We know the property that if two sets…

Q: Show that if A and B are sets, then P(A) u P(B) c P(A u B), where P(A) denotes the power set of A

A:

Q: Write the interval in set-builder notation. [-4, 1] U [5, ∞0) O {xl-52 x ≥ 1 orx ≤ 4} O {x|-4 ≤ x ≤…

A: Set builder notation is represented as Interval notation, and it is a way to define a set of numbers…