6. Find sets A,B such that A\ (A\B)B What is A (A\B) as a set in...

Question

Question

$6. Find sets A,B such that A\ (A\B)B What is A (A\B) as a set in terms of A and B? Prove your answer. Hint: Make up some exam$

Answer 1

Answer #1

6. Ket A $1,2,3, -1400 son and B = $ 5.6, 7, 8, ., 158 son Now (A1B) = {1, 2, 3, 47 . A1(AIB) = $5.6, 7, 8, 9, 10} & B. Now J

Answer 2

Similar Homework Help Questions

3. Let E E Lm* (Lebesgue measurable set). Prove that there exist a set G (a countable intersection of open sets), and a...

3. Let E E Lm* (Lebesgue measurable set). Prove that there exist a set G (a countable intersection of open sets), and a set F (a countable union of closed sets) such that F CE C G and m* (F) the Lebesgue measure of a set Hint: The Lebesgue measure can be calculated in terms of open and closed sets m* (E) m* (G), where m* denotes 3. Let E E Lm* (Lebesgue measurable set). Prove that there exist a...
Sets, Please respond ASAP, Thank you 2) Recall another notation for the natural numbers, N, is...

Sets, Please respond ASAP, Thank you 2) Recall another notation for the natural numbers, N, is Z+. We similarly define the negative integers by: 2. Too, for any set A and a e R, define: and Let B={x: x E Z+ & x is odd } (Recall a number I is said to be odd if 2k +1 for some k e z) Assume Z is our underlying background set for this problem. (a) Write an expression for 3 +...
4 [8 pts. Consider sets A, B, and X. Recall 2 is the powerset of set...

4 [8 pts. Consider sets A, B, and X. Recall 2 is the powerset of set Y. Prove the following (XC A)Л (х Св) (а) XСАП В [Recall to prove a biconditional statement like S T S T, you have to prove both S T, and (b) 2(AnB) 24n 2B equal could prove t E X = teY] Hint: Use part (a). Also recall that to prove sets X and Y are we 4 [8 pts. Consider sets A, B,...

Recall the following definition: For two sets A and B, the difference set A \ B...

Recall the following definition: For two sets A and B, the difference set A \ B is the set consisting of those objects that are members of A but not members of B: A \ B = {x ∈ A : x is NOT ∈ B}. Please provide a thorough answer to the following questions. (a) Prove or disprove: For all sets A, B, C, if A \ C = B \ C, then A = B. (b) Prove or...
Sets A, B, and Care subsets of the universal set U. These sets are defined as...

Sets A, B, and Care subsets of the universal set U. These sets are defined as follows. U= {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1,6,7,8,9} B = {1, 3, 4, 7, 9) C = {4, 5, 6, 7} Find CU ( BA)'. Write your answer in roster form or as Ø. CU (BNA): = 0 Х 5 ?
Problem 6 Suppose A and B are countable sets. Prove A × B is a countable...

Problem 6 Suppose A and B are countable sets. Prove A × B is a countable set.

Exercise 1.8. Prove that, for any sets A and B, the set A ∪ B can...

Exercise 1.8. Prove that, for any sets A and B, the set A ∪ B can be written as a disjoint union in the form A ∪ B = (A \ (A ∩ B)) ∪˙ (B \ (A ∩ B)) ∪˙ (A ∩ B). Exercise 1.9. Prove that, for any two finite sets A and B, |A ∪ B| = |A| + |B| − |A ∩ B|. This is a special case of the inclusion-exclusion principle. Exercise 1.10. Prove for...
Consider two data sets. Set A: n = 5; x = 4 Set B: n =...

Consider two data sets. Set A: n = 5; x = 4 Set B: n = 50; x = 4 (a) Suppose the number 14 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 14 to x of the original data set and divide by 6. (Round your answer to two decimal places.) (b) Suppose the number 14 is...
A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and...

A company sells sets of kitchen knives. A Basic Set consists of 2 utility knives and 1 chef's knife. A Regular Set consists of 2 utility knives, 1 chef's knife, and 1 slicer. A Deluxe Set consists of 3 utility knives, 1 chef's knife, and 1 slicer. The profit is $40 on a Basic Set, $50 on a Regular Set, and $70 on a Deluxe Set. The factory has on hand 1200 utility knives, 600 chef's knives, and 300 slicers....

c) Definition: Let A and B be two sets (within some universal set X) A and...

c) Definition: Let A and B be two sets (within some universal set X) A and be are called disjoint if A n B 0. 15 pts. Prove the following. A and B are disjoint if and only if A/B-A U B