If A, B and C are any three sets, then which of the following is equal to B − (A ∪ C)?
Use Venn
diagrams to help you answer this question.
a) (A − B) ∩ (A − C)
b) (B − A) ∩ (B − C)
c) (B − A) ∩ (A − C)
d) (A − B) ∩ (B − C)
If A, B and C are any three sets, then which of the following is equal...
DISCRETE/LOGIC MATH please show work and explain 3. Let A, B, C be sets. Use the Venn Diagram below to help give a counterexample to the statements in parts (a) and (b). In each case, if the Venn diagram suggests a relationship between the LHS and RHS (without any additional hypotheses), then state and prove it. с (a) For all sets A,B,C, (A (b) For all sets A, B, C, ( A B B C = A ( B C...
5. Given events A and B in the sample space S, simplify the following sets. You can carry out the calculations using the laws of set operations. Alternatively, you can use Venn diagrams to find the answers. a. AU(An B) b. (AU(An B))'
(1 point) Which of the following Venn diagrams corresponds to (An B')- C? AB A. B. A B C. D.
5. (a) Write out the set P({a, 2,0}). (b) For sets A, B and C, draw the Venn diagram representing AU( B C), (c) For sets A, B and C, draw the Venn diagram representing (AUD) n(B\C). (d) If A and B are two boxes (possibly with things inside), describe the following in terms of boxes A B, P(A), and A.
#9-11 please 9. Let A and B be disjoint sets in the universe U. Let C be a proper subset of A. (a) Draw a Venn Diagram representing this information. (b) What is BAC? 10. Let A be a set in the universe U. (a) Draw a Venn Diagram and shade in the region A. Then draw another Venn Diagram with the same set A, but shade in A'. (b) What is A'U A? 11. Give an example of three...
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give PROBABILITIES. 0.46 0.18 0.21 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A I B) -D
Which of the following sets are equal (select all that are equal)? a. {x € Zlx >0} b.N c. {x e Qlx >0} d. {x € Rjx >0} Ос Od Ob
3) Now, let's find the regions that represent these sets in general. a)Using the following general Venn Diagram, click the regions that represent Au Bºn C). You are strongly encouraged to write down the regions that represent smaller sets, and combine them one step at a time as shown in your notes. A II. v. VII. VIIT. b) Using the following general Venn Diagram, click the regions that represent (AUB) n (AUC). You are strongly encouraged to write down the...
Which of the following sets are equal (select all that are equal)? a. {x € N\x2 > 0} b.N c {€ Zla? >0} d. € Zr >0} e. {x E ZI - x < 0}
1. Do the following problems: a. Find the sets A and B, if A-B = {1, 5, 7, 8), B-A = {2, 10} and An B = {3, 6, 9). b. Draw a Venn Diagram for the Symmetric Difference of the sets A and B. c. Find and list all the partitions of S = {a,b,c,d,e).