Winifred K.

# Home Work Assignmet

1. How many different positive integers can be made from the digits {2, 4, 6, 8} if repetitions are allowed?

2. What is the telescoping form of f(x) = x4 + 7x3 - x2 + 2x + 1 ?

3. Let r = {(a,a), (b,b), (c,c), (d,c)} be a relation on A= {a,b,c,d}. Which one of the following properties does r possess?
a. Transitivity
b. Injectivity
c. Bijectivity
d. Symmetry
e. Surjectivity.

4. How many elements does the set P ({3,4,5,6} ∩ {1,3,5,7}) contain?

5. Let S(k) = 6S(k-1) + 25 and S(0) = -4. What is the solution for S(k) for all k ∈ ZZ ?

6. Let A = {2n | n ∈ {0,1,2,3}} and B = {3n| n ∈ {0,1,2,3}} . What is the set A ∪ B ?

7. If U = {2, 3, 5, 6, 8, 9, 11, 12} then which one of the following is the truth set of the proposition 2|x ∧ 3|x  over U ?

8. Let A = {1, 2, 3, 4} and L = [P (A); ∨,∧] by a lattice under the subset relation ⊆. What is the meet of A1 ∧ A2 of A1 = {1, 2, 3} and A2 = {1, 3, 4} ?

9. If Ζ→R then which one of the following is the domain of f ?
a. R
b. Z
c. ∅
d. N
e. Q

10. Let p(x): x2 + x - 2 + 0, q(x) : x + 2 = 0, and r(x) : x > 0. What is the quantified propositions over Z is true? Stephen M.

For 10, you've got at least one typo in your statement of p(x) and I think you're missing part of the question.
Report

01/02/17

## 2 Answers By Expert Tutors

By: Tutor
4.9 (640)

Math major with a specialty in number theory Tutor
4.8 (62)

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.
Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.