# Odd Solutions for HW Numbers Lesson 1

1. Count to ten.
• zero, one, two, three, four, five, six, seven, eight, nine, ten.
• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
• zero. Because I'm weird. Most will start with one and that's ok.
• If we are counting, eleven (11). Otherwise, there is no next number.
• Again, If we are counting, and start with 0, there are 10, one for each digit.

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.
 1 4 2 8 5 7 R 1 7 / 1 0 0 0 0 0 0 - 7 3 0 - 2 8 2 0 - 1 4 6 0 - 5 6 4 0 - 3 5 5 0 - 4 9 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.
• Complement of (A B) = complement of A complement of B. Answer: FALSE.
• (A B) C = A (B C). Answer: TRUE
• A (B C) = (A B) (A C) Answer: FALSE. It can be made true by changing the second half of the equation to (A B) (A C)

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 = {}.