Winifred K.

asked • 01/02/17

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.
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01/02/17

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Stephen M. answered • 01/02/17

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Math major with a specialty in number theory

Kenneth S. answered • 01/02/17

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