Hi y’all need help with these questions please explain how you solved them thanks . Let...
Please help me prove 2,4, and 5. Thank you Theorem 17. Let A, B and C be sets. Then the following statements are true: (1) AB CA; (2) B CAUB; (3) A CAUB; (4) AB=BA; (5) AU (AUC) = (AUB) UC; (6) An(BNC) = (ANB) nC; (7) An (BUC) = (ANB) U (ANC); (8) AU (BAC) = (AUB) n(AUC).
help please and thank you 2. Prove that the following statements are true for sets A, B, C: (a) Commutativity (I): An B = BNA. (b) Commutativity (II): AU B = BU A. (c) Distributivity (I): AN(BUC) = (AN B)U(ANC). (d) Distributivity (II): AU (BAC) = (AUB) N (AUC). (e) Idempotence (I): An A = A. (f) Idempotence (II): AU A = A.
Hi I need help with these questions please explain how you solved them thanks ! 3. Which of the following statements are true, and whi ch ones are false? (a)コz E R such that x2 < 0. (b) Vz E R,ヨy E R such that xy = 1.イトー包吣truunl real nrwe 弋(e) 크x E R, such that Vy e R, xy = 0. T),w-Sort (en mn- k@) 크x > 0, such that Vy e R, xy = 0.dr. X (e) ,...
I really need someone to solve and explain the last two questions. Thank you! Exercise 1.5. Prove that if A and B are sets satisfying the property that then it must be the case that A - B. Exercise 1.6. Using definition (1.2.5) of the symmetric difference, prove that, for any sets A and B, AAB - (AUB)I(AnB). Exercise 1.7. Verify the second assertion of Theorem 1.3.4, that for any collection of sets {Asher Ai iET iET Exercise 1.8. Prove...
Hi working on number two I need some help pls explain how you solved the problem thanks Some Definitions and Other Useful Information For n.EN define the n-th harmonic number, Hn by: Tl 7 1. . Let n E NU (0); n! = (1)(2) (n-1) (n). By convention, 0! Exercises Use induction to prove the following statements. 1. For every n E N, Σ21 k3-2(n+1)2 2. For every integer n2 2, Ση_2 kE1 1-1!
Can I get this problems solved please, I need them really worked correct. Thanks P1. 5pts Use De Morgan's law to compute complements of the following Boolean expressions: (a) A: C + Ā:B:C (b) Ā: B.C.+ A:B . C + A.B.C.+ A:B:D +Ā: B.C.] +B:C:D +Ā (c) A.B.C + AB (d) A.B.C:+A:B:C:D + (A + B + C + D) (e) Ā:B:C+BC+BC P2. 12pts Rewrite the following expressions in minimized expressions using Boolean algebra. (a) (A + B +0) (A+B+C)(A...
need java code. (d) is cartesian product rule. Design a program to let user enter two lists of numbers within the range [0, 9] from keyboard, you could either use flag to denote end of the list or ask user to enter the list size first and then enter the list numbers. Each of these two lists represents a set (keep in mind that duplicate elements are not allowed in a set), so we have two sets A and B....
need help with proving discrete math HW, please try write clearly and i will give a thumb up thanks!! Let A and be B be sets and let f:A B be a function. Define C Ax A by r~y if and only if f(x)f(y). Prove thatis an equivalence relation on A. Let X be the set of~-equivalence classes of A. L.e. Define g : X->B by g(x) Prove that g is a function. Prove that g is injective. Since g...
Hi, I really need help on both parts of this complex analysis question. Thanks! 1. Let be a complex number and let 12=C 1.R>o be the complement in C to all real positive multiples of . (a) Show that the function 2 H 23 has a continuous inverse function, called 37, on N. (Hint: polar coordinates might help). Prove that there are exactly three different such continuous functions. Deduce that there is no continuous extension of 37 on all of...
HI I NEED JUSTIFICATIONS, PLEASE HELP ME UNDERSTAND THANKS!! :) 2. [4 points) Let X1,..., Xn be a random sample from a distribution with mean li and variance o; and let Y1,...,Yn be a random sample from a distribution with mean H2 and variance oz. Suppose that the two samples are independent and both means Hi and H2 are unknown. For each scenario, please indicate whether the statement is T (TRUE) or F (FALSE). No justification is required. T 1...