TRUE OR FALSE Direction. Write TRUE if the statement is false and FALSE if the statement is true. 7. The power set of a null set is {Ø}. 8. The cardinality of the power set of a set A with 4 elements is 8. 9. If B = {x|x # x}, then B = Ø. 10. If B = {x|x is a letter of the word discrete}, then B = {d, i, s, c, r, e̟t, e}.

Q: 6. Determine whether each set is finite or infinite. If a set is finite, find the cardinality. Write…

A: Note : " As per guidelines we will solve first three subparts. If you want any specific subpart to…

Q: 2. Show that Z has the same cardinality as the set O of odd integers.

A: Given below the detailed solution

Q: 1. A = {2,5 – 7} and B = {a, k, u, j}. What is A x B? 2. U = {11, 22, 33, 44, 55}. V = {1, 2, 3, 4}.…

A: As per guidelines, I can answer only one question.

Q: A n(A) = 5 3 C 4 X 0³ 6 1 14 9 7 B 5

A:

Q: LetA={1,2,3,4,5},B={0,3,6}, andC={0,2,4,6}and let the universal set beN. Determine all ofthe…

A:

Q: For following determine whether statement is true or false. 1. Cardinality of an interval (0,10) is…

A: (1) The statement, "Cardinality of an interval 0,10 is same as the cardinality of an interval…

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: A vein diagram is given as follows:To Find:

Q: 25 h 28 Let a1 = -25 az = 16 and az = -26 The set {a1, a2, az} will span R³ unless h = If there are…

A:

Q: Let N={1,2,3,4,...}. Let P(x,y) be the predicate that x is less than or equal to y^2

A: (d) S = {1, 2, 3, 4, 5, 6, 7, 8, 9} (e) T = {3,4,5,6,......} (f) R = {} (empty set)Explanation:(d)…

Q: TRUE OR FALSE Direction. Write TRUE if the statement is false and FALSE if the statement is true. 1.…

A: We know a set S is an improper subset of that set itself. Cardinality of the null set is 0

Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7,…

A:

Q: Find the cardinal numbers of the sets in the given pair to determine whether the sets are…

A: n(T) and n(P) represents the number of elements in the sets T and P respectively. Obtain the values…

Q: 3. Let A = {1, 2, 3, 4). List all the subsets B of A such that d. [BB] {1,2} ≤ B; e. BC {1, 2}; f.…

A:

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A: The venn diagram that shows the cardinality of each set is given below:

Q: cardinality of A X B

A: