Integers
- List all subsets of the set {3, R, k}.
- 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.
- 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”.
- 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.
- Draw a Venn diagram to represent the set A’ intersect B.
- 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”.
- 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:
- 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: ________________________________________
- 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”.
- What is the simple interest on a two-month loan of
$800 if the interest rate is 1.5% per month?
- For a simple-interest six-month loan of $8500, what is
the maturity value if the simple interest is 6.8%?
- 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.
Sample Solution