Define the sets A, B, C, D, and E as follows: • A = {x ER: x < -2} • B = {x ER: x > 2} ● • C= {xER: x < 2} • D= {x € R: |x|≤ 2} • E= {x ER: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied? No. AU BUC R because 2, -2 €AU BUC. O No. Because AUB UC = R Yes. A U BUC # R because 2, -2 # AU BUC. O Yes. A U BUC =R because 2, -2 € AU BUC.

Define the sets A, B, C, D, and E as follows: • A = {x ER: x < -2} • B = {x ER: x > 2} ● • C= {xER: x < 2} • D= {x € R: |x|≤ 2} • E= {x ER: x ≤ -2} Use the definitions for A, B, C, D, and E to answer the question: Do the sets A, B, and C form a partition of R? If not, which condition of a partition is not satisfied? No. AU BUC R because 2, -2 €AU BUC. O No. Because AUB UC = R Yes. A U BUC # R because 2, -2 # AU BUC. O Yes. A U BUC =R because 2, -2 € AU BUC.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter13: Structures

Section: Chapter Questions

Problem 4PP

See similar textbooks

Similar questions

TM M = (Q, E, I, 6, 90, 9a, qr), where Q = {90, 91, 92, 9a, 9r}, Σ = {0, 1}, r = {0, 1, L}, and 8 is: 8(qo, U) = (qr, U, R) 8(90, 0) = 8(go, 1) (91, 0, R) (qo, 1, R) = 8(g1, L) = (ga, U, R) 8(91,0) = (91, 0, R) 8(91, 1) = (92, 1, R) = (92, U, R) 8(92, U) 8(92, 0) = (90, 0, R) 8(92, 1) = (92, 1, R) i. Prove that M is NOT a decider. ii. Mathematically describe the language A that M recognises. Prove that A ≤ L(M). iii. Prove A = L(M). iv. Is A Turing-decidable? [Give clear reasons for your answer. No need for a formal proof.]
A club with 20 women and 17 men needs to choose three different members to be president, vice president, and treasurer. In how many ways is this possible if women will be chosen as president and vice president and a man as a treasurer? O 15 x 15 x 14 O 16 x 16 x 17 O 19 x 17 x 16 O 20 x 20 x 20 O 20 x 19 x 17 *
Consider the following four sets where the domain is the set of positive integers. A = { x | x is a positive integer less than 10} B= {x|x is a prime number less than 10} C= {x|x is an even number less than 10} D= {x|x is a power of 2} Answer the following questions (1) What is AU B|? (2) What is P(A N C)? (3) What is | P((AU C)- (CU D))|?
PEARHEAEGANEHNA 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 let x = "me"; let y = 3; let z = myFun (x, y) alert(z); z=plusOne(plusOne (y)); alert(x); function myFun (a,b){ alert (b); moreFun(); return b* a. length; } fucntion moreFun () { } alert(y); function plusOne (c) return c + 1
A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6} U = {numbers from 0 to 10} 7. 3 ∊ B 8. 5 ∊ C 9. B ⊂ A 10. C ⊂ A 11. C ⊂ B 12. C ⊂ U
Show a context-free grammar for each of the following languages. Example 1: {a bm: m > n, m-n is even} Context-free grammar for the language: S -> aSb S -> Sbb S-> € Example 2: {albi: i, j ≥ 0 and 2i = 3j + 1} Context-free grammar for the language: S->aaaSbb S -> aab
docs. قسم علوم الحاسوب- المرحلة الأولى -امتحان مادة ال مطلوب Let U={a,b,c,d,e,f,g), A={a,b.c,d,e}, B={a,b,c,f} C={a,e,f,d,g): find ill Jgull *? complement of (B-A) * ?A*(B NC) 3 3 ae Google c - L TIkrit University
K: the domain of inhabitants of the Koprulu sector of the Milky Way galaxy; • T(x): inhabitant z belongs to the Terran race; • Z(r): inhabitant a belongs to the Zerg race; • P(z): inhabitant r belongs to the Protoss race; • W(r): inhabitant r is a worker; S(r): inhabitantr is a soldier; • I(2): inhabitant r is invisible; • A(r, y): inhabitant z attacked inhabitant y; • F(x, y): inhabitant r befriended inhabitant y. 3. Using the same definitions as in the previous question, translate each of the following predicate logic statements into English. Try to make your English translations as natural sounding as possible. These statements appear long, but try to break them into smaller cohesive pieces. a. Vw e K, (T(w) AW(w))-(3p E K, P(p) A S(p) ^ I(p) A A(p, w)). b. 3k € K,3r € K,k + rA T(k) A T(r) A F(k,r) A F(r, k) ^ (Vz € K, Z(2) → A(z, k)). It e K,T(t) A W(t) A ar € K, 3y E K, I + y A Z(1)AW(x) A Z(y) A W (y) A A(t, r) A A(t, y) A (Vw E K, (r + w Ay # w AZ(w) AW(w))~ A(t, w)) С. 2.
If S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)
L {1} exists if s = 0 s> 0 خبار 2 خيار 4 s 0 خیار 3
If A = {1, 2, 6} and B = {2, 3, 5}, then the union of A and B is
For each of the following functions, determine whether the function is: Injective (one-to-one). Surjective (onto). ⚫ Bijective. Justify your answers.