University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2021
Views:

490

Pages:

4
Author:

Maddison Riddle

Chapter 1 practice test PART 1 (PART 2 starts on page 3) #1 – 2: Write a word description of each set 1) A = {8,9,10,11…} 2) B = {8,9,10,11} #3 – 4: Write the sets in set-builder form. (There are many correct answers.) 3) A = {8,9,10,11…} 4) P = set of natural numbers between 8 and 11 exclusive #5-7: Write sets in roster form. 5) The set A of natural numbers greater than 4. 6) The set A of natural numbers between 7 and 11 inclusive. 7) B = {𝑥|𝑥 ∈ 𝑁, 3 ≤ x < 7 } #8 – 10: Find the cardinal number (n) of the following sets. That is find the number of elements in each set. 8) The set B of natural numbers between 5 and 7 inclusive. 9) The set A of natural numbers less than 5. 10) Find n(C): where C = {w,x,y,z} #11– 13: Determine whether the sets A and B are equal, equivalent, neither. 11) A = {4,3,2,1} B = {2,4,3,1} 12) A = {a,b,c} B = {1,5,9} 13) A = {0,1} B = {0,1,2} #14-16: Answer yes or no, if no give the reason 14) Is A ⊆ B Given A = {𝑎, 𝑏} and B = {a,b,c} 15) Is A ⊆ B Given A= 1,2 and B = {1,2,3} 16) Is A ⊆ B Given A = {2,4,6} and B = {1,2,3} #17 – 18: Determine which of these are true. (Choose every answer that is true, in many instances there will be more than one correct choice.) A = B, A ⊆ B, 17) A = {5,7} B ⊆ A, A ⊂ B, B ⊂ A, or none of these 18) A = {𝑥|𝑥 ∈ 𝑁 𝑎𝑛𝑑 1 < 𝑥 < 5} B = {7,5} #19-21: Find the following sets. U = {a,b,c,d} A = {a,b} B = {b,c} 19) B’ 20) 𝐴 ∩ 𝐵′ #22-23: Find the following sets. U = {1,2,3,4,5,6} S = {1,3,5} T = {1,2,3} V = {3,4,5} 22) 𝑆 ∩ (𝑇 ∪ 𝑉) 23) 𝑆 ∪ (𝑉′ ∩ 𝑇) 21) 𝐴 ∪ 𝐵′ B = {2,3,4,5} Chapter 1 practice test PART 2 24) Sketch the region. 𝐴′ ∩ 𝐵 25) Sketch the region. 𝐴 ∪ 𝐵 ∩ 𝐶′ 26) Use the Venn diagram to find the following. 𝐴′ ∩ 𝐵 (hint see problem 24) 27) Use the Venn diagram to find the following. 𝐴 ∪ 𝐵 ∩ 𝐶′ (hint see problem 25) 28) A company is considering manufacturing a new flavor of ice cream. They are considering two flavors, bubble gum and boysenberry. In a sample of 120 people, it was found that    40 liked bubble gum 90 liked boysenberry 20 liked both types a) Create a Venn diagram to model the information. b) How many liked only boysenberry? 29) 150 students were asked which of thethese 3 teachers have they taken (Clark, Grima and Diaz). The results of the survey were as follows: 50 have taken Grima 45 have taken Clark 40 have taken Diaz 10 have taken both Grima and Clark 15 have taken both Grima and Diaz 20 have taken both Clark and Diaz 5 have taken all three a) Create a Venn diagram to model the information. b) How many did not take any of the three c) How many have taken both Grima and Diaz, but not Clark? Answers: 1) A is the set of Natural numbers greater than or equal to 8. or - A is the set of Natural numbers greater than 7 2) A is the set of Natural numbers between 8 and 11 inclusive. or - A is the set of Natural numbers between 7 and 12 exclusive 3) 𝐴 = {𝑥|𝑥 ∈ 𝑁 𝑎𝑛𝑑 𝑥 ≥ 8} (There are other correct answers) 4) 𝐴 = {𝑥|𝑥 ∈ 𝑁, 8 < 𝑥 < 11} (There are other correct answers) 5) A = {5,6,7,…} 6) A = {7,8,9,10,11} 7) B = {3,4,5,6} 8) N(B) = 3 9) N(A) = 4 10) N(C) = 4 11) Equal and Equivalent 12) equivalent 13) neither 14) True 15) false, A is not a set 16) False, A is not contained in B 17) A=B, A ⊆ B, B ⊆ A 18) A ⊂ B, A ⊆ B 19) {a,d} 20) {a} 21) {a,b,d} 22) {1,3,5} 23) {1,2,3,5} 24) see next page 25) see next page 26) {h} 27) {d,e,h} 28b) 70 29b) 55 29c) 10