University:
Glendale Community College
Course:
MAT140 | College Mathematics
Academic year:

2021
Views:

56

Pages:

9
Author:

Andres Barnes

Section 1.2: Introduction to sets - Continued. Homework #1 – 8. Write a word description of each set 1) D = {2, 3, 4, …} 2) B = {4,5,6 …} 3) A = {1,2,3,4,5,6,7} 4) E = {5,6,7,8,9,10} 5) D = {Bashful, Doc, Dopey, Grumpy, Happy, Sleepy, Sneezy} 6) B = {California, Oregon, Washington} 7) V = {a, e, i, o, u} 8) T = {1,4,9,16,25,36,…} Homework #9 – 16: Write the sets in set-builder form. (There are many correct answers.) 9) D = {2, 3, 4, …} 10) A = {3,4,5,6…} 11) A = {1,2,3,4,5,6,7} 12) B = {1,2,3,4,5,6} 13) P = set of natural numbers between 3 and 11 inclusive 14) P = set of natural numbers between 4 and 9 inclusive 15) P = set of natural numbers between 3 and 11 exclusive 16) P = set of natural numbers between 4 and 9 exclusive Homework # 17 – 32. Write sets in roster form. 17) The set A of natural numbers between 5 and 10 inclusive. 18) The set A of even natural numbers between 5 and 10 inclusive. 19) The set A of even natural numbers greater than 4. 20) The set A of odd natural numbers greater than or equal to 5. 21) The set A of natural numbers greater than 4. 22) The set A of natural numbers greater than 5. 23) The set A of natural numbers that are negative. 24) The A set of natural numbers less than 0. 25) B = { k | k+1=6 } 26) B = { x | x – 3 = 5 } 27) C = { m | m is a natural number, m < 3} 28) C = { m | m is a natural number, m ≤ 3} 29) D = {m | m ∈ 𝑁, 2 < m < 5} 30) D = { m | m ∈ 𝑁, 2 ≤ m < 5} 31) D = { m | m ∈ 𝑁, 2 < m ≤ 5} 32) D = { m | m ∈ 𝑁, 3 < m < 7} Answers: 1) D equals the set of natural numbers greater than or equal to two. 3) A equals the set of natural numbers between 1 and 7 inclusive 5) D = the set of the seven dwarfs 7) V = the set of vowels 9) D = {𝑥|𝑥 ∈ 𝑁, 𝑥 ≥ 2} 11) A = { x | x is a Natural number and 1 ≤ 𝑥 ≤ 7 } 13) P = { x | x is a Natural number and 3 ≤ 𝑥 ≤ 11 } 15) P = { x | x is a Natural number and 3 < 𝑥 < 11 } 17) A = {5,6,7,8,9,10} 19) A = {6,8,10…} 21) A = {5,6,7…} 23) A = { } 25) B = {5} 27) C = {1,2} 29) D = {3,4} 31) D = {3,4,5}