7. Consider the sets A = {x |x € Z, -2

Q: On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a;…

A: The set is A=a, b, c, d, e, f, g, h and the relation is R=a; b, a; c, a; d, a; e, b; f, c; f, d; g,…

Q: U = { all real numbers} A = { 10, 11, 12, 13, 14, ...} B = {-3, -2, -1, 0, 1, 2, 3} C = {-1, -2,…

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: The cardinality of { Ø, 1, 2, 2, {1, 2}} is

A: We need to find the cardinality of { ϕ, 1,2,2,{1,2}}.

Q: What is an example of two equivalent sets with the same cardinality BUT DO NOT HAVE a one-to-one…

A: Take A as, 1,2,3 and B as 3,4,5 The cardinality of A and B is 3. Now let's define a function.

Q: Is the relation of “mapping” between two sets used to determine cardinality - and not used to…

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: true or false and why ? The set [0,1] has the same cardinality as ℝ .

A: True. See the attachment

Q: III. Identify the cardinality of the given set below and list its subsets. The first one is done for…

A:

Q: Consider the sets A = {16}, B = {10 + 6}, C = {10, 6}, D = {25}, and E = {2, 5}. (a) What is the…

A: Given that: Sets A = {16}, B = {10+6}, C={10,6}, D={25}, E={2,5}

Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Let .To write the down the elements  in the following sets.Note: Since, the student has posted a…

Q: 2. Let A = notation. {a,b,c}, B = {1,2}, C = {X, Y}. Write out the indicated set in list (A x B) x C

A: For given A, B, C set we have to find the value of (A x B) x C.

Q: 3. If A is a set, and |A| represents the cardinality of A, then use the definition of set A has the…

A: To prove that the set [1,2) has the same cardinality as the set [3,∞), we need to establish a…

Q: Find the following cardinalities: a. A = {5, 10, 15, ..., 75} |A| = b. A = {x € Z: - 100 ≤ x ≤ - 17}…

A: We have to find the cardinality of the following setsWe know thatThe cardinality of the set is the…

Q: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

A:

Q: 4. Find all subsets of S = {0, 1, {0,1}} which are not also elements of S. (Another way of writing…

A: 4. Given set is S=∅, 1, ∅, 1.   To Find: All subsets of S which are not also elements of S i.e., all…