Can you break these 3 questions down in a step by step so I can understand.1. Find two sets A and B such that E B and A ≤ B.2. Show that if A ≤ C and B≤ D, then A*B ≤ C*D3. Let A, B, and C be sets. Show that (A-B) - C ≤ A-C

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Good day may I please receive assistance with the attached question.
O Let A and B be sets. Then A x B=BX A. True False
Let A = {Becca, Darius, Julian, Larry, Solly, Bess}, B = {Larry, Solly, Darius}, and C = {Mellie, Sally, Molly, Jeffrey, Larry}. Find the given set. (An B) UC Step 1 We are given the following sets. Our goal is to find the set (A n B) U C. Therefore, we will use all three sets all three sets to determine our answer. We will start by finding An B which is the intersection of A and B. Recall that the intersection of A and B is a set of all elements that are common to both sets. Determine which of the following elements should be included in the set A n B. That is, determine which of these elements are in both A and B. (Select all that apply.) ооооооо Becca Bess Darius Jeffrey Julian A = {Becca, Darius, Julian, Larry, Solly, Bess} B = {Larry, Solly, Darius} C = {Mellie, Sally, Molly, Jeffrey, Larry} Larry Mellie Molly Sally Solly
If A and B are two sets satisfying A∖B=B∖A what can we conclude about A and B? Explain.
Let A, B, C subset U. Suppose that n(U)= 41, n(A)= 30 and n(B)= 35. For each of the following sets, give the smallest possible number of elements the set can contain and the largest number of elements the set can contain. If you know the exact number of elements the set has, then write the same number in both spaces. 1. A U B What is the smallest and largest possible values. 2. A intersect B What is the smallest and largest possible values. 3. A’ What is the smallest and largest possible values. 4. A’ intersect B What is the smallest and largest possible values. 5. A’ U B What is the smallest and largest possible values.
11. Given T= {2, m, 5, 9} and H= {2, 4, 5, n}.If set T and set H are equal sets, then what is the value of (m + n)? 12. If A = {1, 2, 3} and B = {1, 2, 4, 5} , then find A Å B .
If X = {2, 4, 6} and Y = {3, 5, 7}, which of the following statement(s) is/are NOT true? i. The two sets are equivalent sets. ii. The two sets are equal. iii. The two sets are disjoint sets. i only ii only i and iii only ii and iii only

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Can you break these 3 questions down in a step by step so I can understand. 1. Find two sets A and B such that E B and A ≤ B. 2. Show that if A ≤ C and B≤ D, then A*B ≤ C*D 3. Let A, B, and C be sets. Show that (A-B) - C ≤ A-C

Can you break these 3 questions down in a step by step so I can understand. 1. Find two sets A and B such that E B and A ≤ B. 2. Show that if A ≤ C and B≤ D, then AB ≤ CD 3. Let A, B, and C be sets. Show that (A-B) - C ≤ A-C