Exercise 1 Give an argument to convince a skeptical but reasonable jury that the

Question

Exercise 1 Give an argument to convince a skeptical but reasonable jury that the above laws (above) are true. Since the jury is skeptical, it's not enough to say, for example, "they're true because I say so", or, "l tried them out with these particular sets A and B that I'm bringing into evidence and it worked fine", because the jury will suspect that the result could be different for other choices of A and B So your argument has to be rational and general. We're looking for proof beyond a shadow of a doubt" here. On the other hand, the jury is reasonable, so once there is no way for your argument to fail, they will accept it. Hint: you wish to show in each case that two sets C and D are the same; thus, you must show that C and D have the same elements. To do this, first show that every element of C is also an element of D. Then show that every element of D is also an element of C. Exercise 2: A computer representation for sets: Let U 1,2,3,4,5,6) A bit representation for X is a six digit binary number x1x2x3x4x5x6 with bit xi for i in [1,6] defined as xi=1 if i is in X, 0 otherwise For example if B-(2,3,6), then B is represented as B-011001 1) Find a representation for C- 1,4,5,6) 2) Find the set corresponding to Let B, C subsets of U such that B-b1b2b3b4b5b6, and C-c1c2c3c4c5c6 3) Define UNION(B,C) that produces Bu C 4) Define INTER (B, C) that produces BnC 5) Define DIFF(B,C) that produces B-C 001101 Exercise 3 Let U be a universal set. For any subsets A, B, and C of U, the are true: An(BuC) (AnB)(AnC) and (AUB) U C-A(B C) and AcBuA and BBUA BnACA and BnACB Use the above statements to simplify the sets in: 1) An (B- A)

Explanation / Answer

excercise 2:

1)

so answer : 100111

2)

1 2 3 4 5 6 1 0 0 1 1 1

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.