Directions: Show your complete solutions and answers. 1. Specify the set A by listing its elements, whereA = {x:x is a whole number less than 100 and divisible by 16}.2. Specify the set B in set-builder form by giving a written description of its elements,where B = {0, 1,4, 9, 16, 25}.3. ConsiderA = {m, a, t,h}B = {s,t, e,m}a. What is A n B?C = {x:x = 3n, 1 5. Solve the following problem using a Venn diagram: Consider the following dataamong 110 students in the college dormitory: 30 students are on a list A (takingAccounting); 35 students are on a list B (taking Biology); and 20 students are on bothlists. Find the number of students:a. on list A or Bb. on exactly one of the two listsc. on neither list56. Let g(x)Find the domain of g(x).x-42x2-3x+77. Let f(x) =8. Suppose f(x) = vx – 3 and g(x) = x² + 5. Which of the following is a formula for(f o g)(x)?9. Suppose f(x) = x² + 3 and g(x) = x – 2. Which of the following is a formula for(f – g)(x)?10. Using the figure on the right and U = {a, b, c, d, e, ƒ,g,h} being the universal set, find theelements of the set (X n Y) UZ.Find f(3).5x2-2xUYXaeh11. consider the following sets:U = {-5,–4,–3, –2, – 1,0,1,2,3,4,5},A = {x: x² = 25},B = {-5,0,1,2,3,4, 5}C= {x: x? – 5x + 6 = 0}.CTYa. What is A n B?b. Which is equal to B\C?c. Which set is equal to (B\A)°?d. What is the cardinality of a countably infinite set?IVERSISAPIEN

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Answered: Specify the set A by listing its…

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Specify the set A by listing its elements, where A = {x: x is a whole number less than 100 and divisible by 16}.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 2TU: Suppose one canoe rents for 40,and2 is taken off the price for each additional canoe rented by a...

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Question

Directions: Show your complete solutions and answers.

1. Specify the set A by listing its elements, where
A = {x:x is a whole number less than 100 and divisible by 16}.
2. Specify the set B in set-builder form by giving a written description of its elements,
where B = {0, 1,4, 9, 16, 25}.
3. Consider
A = {m, a, t,h}
B = {s,t, e,m}
a. What is A n B?
C = {x:x = 3n, 1<n < 4,n E N}
D = {x:x = 2n, 1<n <6,n E N}
b. What is C U D?

5. Solve the following problem using a Venn diagram: Consider the following data
among 110 students in the college dormitory: 30 students are on a list A (taking
Accounting); 35 students are on a list B (taking Biology); and 20 students are on both
lists. Find the number of students:
a. on list A or B
b. on exactly one of the two lists
c. on neither list
5
6. Let g(x)
Find the domain of g(x).
x-4
2x2-3x+7
7. Let f(x) =
8. Suppose f(x) = vx – 3 and g(x) = x² + 5. Which of the following is a formula for
(f o g)(x)?
9. Suppose f(x) = x² + 3 and g(x) = x – 2. Which of the following is a formula for
(f – g)(x)?
10. Using the figure on the right and U = {a, b, c, d, e, ƒ,g,h} being the universal set, find the
elements of the set (X n Y) UZ.
Find f(3).
5x2-2x
U
Y
X
a
e
h
11. consider the following sets:
U = {-5,–4,–3, –2, – 1,0,1,2,3,4,5},
A = {x: x² = 25},
B = {-5,0,1,2,3,4, 5}
C= {x: x? – 5x + 6 = 0}.
CTY
a. What is A n B?
b. Which is equal to B\C?
c. Which set is equal to (B\A)°?
d. What is the cardinality of a countably infinite set?
IVERSI
SAPIEN

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