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Numbers and Their Application to Math and Science

Odd Solutions for HW Numbers Lesson 1

  1. Count to ten.

  2.  

  3. -, i, ii, iii, iv, v, vi, vii, viii, ix, x. Note that the Roman number system had no zero. Note also, that iiii is equivalent to iv and viiii equivalent to ix and will be accepted today.

  4.  

  5.  
    89-x = 100
    x = -11

    Another way to solve this question is to set it up as:
    19010
    -   89
    11

  6.  

  7.  
      142857R1
    7/1000000
    -7          
    30
    -28        
    20
    -14      
    60
    -56    
    40
    -35  
    50
    -49
    1

    142857 r1

  8.  

    For problems 9-11: Given A={m,a,t,h} and B = {e,a,s,y}.

  9. Find AB.

    A. {a,e,h,m,s,t,y} (However, remember order is not important).

  10.  

  11. Find A'.

    A. {b,c,d,e,f,g,i,j,k,l,n,o,p,q,r,s,u,v,w,x,y,z}. May possibly include A,B,C...,1,2,3...

  12.  

  13. Given A = {x > 4} and B = { x <3}. Find A B and A B

    A. A B = {x|x < 3 or x > 4} and A B = .

  14.  

  15. Given B={youths attending BCYF} and C={BCM&SC students}.
    Describe in words B C and B C.

    A. B C = {youths attending BCYF together with BCM&SC students} and
    B C = {BCM&SC students attending BCYC}

  16.  

  17. (3 points) Use Venn Diagrams to prove whether these statements are true.

  18.  

  19. Read section 2.5 in your geometry book. Do problems from 2.5: 2, 9, 14, 15, and 19. Take note of the application of unions and intersections to geometric figures.

2.

9. Symbols of the null set are {} and .

14.

15. Find the intersection and union of G and H.

A. G H = all freshmen. G H = {}.

19. b.

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