Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
2. Given that Z denotes the set of all integers and N the set of all natural numbers, indicate the elements of each of the following sets. a. X = {x € Nx 10 and x is divisible by 3} Y = {x € Z\ x is prime, x < %3D b. %3D 30 and x is divisible by 2} c. Z = {x € Z} x² = 4} 3. Let A = {1, 2, 3, 4} and B = {0,1}. Use the set-roster notation to write each of the following sets and indicate %3D the number of elements that are in each set. a. A x B b. B x A C. AX A For items 4 - 5. Give reasons for your answers. 4. Let B = {2, 4, 6, 8, 10} andC = (4,8, 10} and D = {x} x is even}. a. Is D B? b. Is C D? c. Is CS B? d. is B a proper subset of D? 5. a. Is ((-1)2, 12) = (1², (-1)²)? b. Is (V16,) = (4, 12)? c. Is (–2²,0) = (-V16,0)? %3D %3D %3D

2. Given that Z denotes the set of all integers and N the set of all natural numbers, indicate the elements of each of the following sets. a. X = {x € Nx 10 and x is divisible by 3} Y = {x € Z\ x is prime, x < %3D b. %3D 30 and x is divisible by 2} c. Z = {x € Z} x² = 4} 3. Let A = {1, 2, 3, 4} and B = {0,1}. Use the set-roster notation to write each of the following sets and indicate %3D the number of elements that are in each set. a. A x B b. B x A C. AX A For items 4 - 5. Give reasons for your answers. 4. Let B = {2, 4, 6, 8, 10} andC = (4,8, 10} and D = {x} x is even}. a. Is D B? b. Is C D? c. Is CS B? d. is B a proper subset of D? 5. a. Is ((-1)2, 12) = (1², (-1)²)? b. Is (V16,) = (4, 12)? c. Is (–2²,0) = (-V16,0)? %3D %3D %3D

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.4: Binary Operations
Problem 9E: 9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of...
See similar textbooks
icon
Related questions
Question
written will be marked wrong. the space at the back of this paper. er failure to follow ANY of the aforementioned rules. Good Luck! 2. Given that Z denotes the set of all integers and N the set of all natural numbers, indicate the elements of each the 2 is of the following sets. a. X = {x € Nix < 10 and x is divisible by 3} Y = {x € Zx is prime, x < re is b. || 30 and x is divisible by 2} c. Z = {x E Z} x? = 4} 3. Let A = {1,2, 3,4} and B = {0, 1}. Use the set-roster notation to write each of the following sets and indicate the number of elements that are in each set. a. A x B b. B x A C. AX A For items 4 -5. Give reasons for your answers. 4. Let B = {2, 4, 6, 8, 10} and C = (4,8, 10} and D = {x} x is even}. y as a. Is D S B? b. is C D? c. Is C S B? d. is B a proper subset of D? chan 5. a. Is ((-1)², 1²) = (1², (-1)²)? |3| b. s(VI6)-(4. 금)? -) = (4, 12 c. Is (-2², 0) = (-V16,0)? equent expressions right. 2) 3 4 (108)1261] 3 4 21] 212 6 ]12 6 1] 3 [4 4 3 O2] 3.
Transcribed Image Text:written will be marked wrong. the space at the back of this paper. er failure to follow ANY of the aforementioned rules. Good Luck! 2. Given that Z denotes the set of all integers and N the set of all natural numbers, indicate the elements of each the 2 is of the following sets. a. X = {x € Nix < 10 and x is divisible by 3} Y = {x € Zx is prime, x < re is b. || 30 and x is divisible by 2} c. Z = {x E Z} x? = 4} 3. Let A = {1,2, 3,4} and B = {0, 1}. Use the set-roster notation to write each of the following sets and indicate the number of elements that are in each set. a. A x B b. B x A C. AX A For items 4 -5. Give reasons for your answers. 4. Let B = {2, 4, 6, 8, 10} and C = (4,8, 10} and D = {x} x is even}. y as a. Is D S B? b. is C D? c. Is C S B? d. is B a proper subset of D? chan 5. a. Is ((-1)², 1²) = (1², (-1)²)? |3| b. s(VI6)-(4. 금)? -) = (4, 12 c. Is (-2², 0) = (-V16,0)? equent expressions right. 2) 3 4 (108)1261] 3 4 21] 212 6 ]12 6 1] 3 [4 4 3 O2] 3.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer