Math Concept

Book :Textbook: Mathematical Excursions, Fourth Edition by Aufmann, Lockwood, Nation,

and Clegg

Answer all the12 question for echo section :

1. List all subsets of the set {3, R, k}.

2. The set {x | x is an odd integer between -6 and 8}

has how many subsets? Answer this question with a method

of reasonable time and labor. Write a little bit of work.

3. For the sets A = {2, 4, 6}

B = {1, 2, 4, 7} and universal set U = {1, 2, 3, 4, 5, 6, 7, 8},

find the sets (a) A union B and (b) A intersect B’. Note

the apostrophe on B in part (b),

Q1 to 3 “this part doesn’t mention any section”.

4. For sets A, B, C, and universal set U given by the following:

A = {1, 3, 6, 7}; B = {2, 3, 7, 8}; C = {5, 6, 8}; U = {1, 2, 3, 4, 5, 6, 7, 8},

find the set A’ intersect (B union C) and write it fully in roster form.

Show some work; this is not a short-answer problem.

5. Draw a Venn diagram to represent the set A’ intersect B.

6. For each statement below, write the negation of the statement fully in words.

(a) The lunch was served at noon.

negation: __________________________________________________________

(b) The game was not shown on ABC.

negation: __________________________________________________________

Q4 to 6 “this part for this section: 2.3, 3.1, and maybe a small part of 3.2”.

7. Write the conditional statement below in its equivalent

disjunctive form: If she could sing, she would be perfect for the part.

equivalent disjunctive form of the above conditional:

8. Write (a) converse; (b) inverse; and (c) contrapositive of the conditional statement below fully in words.

If you are the U. S. president, then your age is at least 35.

(a) converse: ____________________________________________________________

(b) inverse: ____________________________________________________________

(c) contrapositive: ____________________________________________________

9. Calculate the simple interest on a nine-month loan of $6,000

if the interest rate is 4.5%.

Q7 to 9 “this part covered section 2.4, 3.3, 3.4 and 11.1”.

10. What is the simple interest on a two-month loan of

$800 if the interest rate is 1.5% per month?

11. For a simple-interest six-month loan of $8500, what is

the maturity value if the simple interest is 6.8%?

12. Use the compound amount formula to calculate the

compound amount A for P = $3500, t = 14 years, and r = 8%

compounded semiannually. Write enough work. Your calculator

will help with the computation, but you still need to write enough work.

Q10 to 12 “this part covered section 11.1, 11.2”