1. Pain Management Clinic
Pamela Leutwyler

2. Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
How many patients are there in the clinic?____
How many women have arthritis?_____

3. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
If H A = U
then (H A)  = U A H
then H  A  = 

4. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
If H  W
then W   H 
complement of set of women = set of men
W  = M
M  H  A H M

5. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men. A H M

6. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men. A H y M z w x

7. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42 A H y M z w x

8. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y M z w x

9. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y
y + z = 29 M z w x

10. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y
y + z = 29 M z
w + y + z = 37 w x

11. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y
y + z = 29 M z
w + y + z = 37 w x

12. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y
y + z = 29 M z
w + y + z = 37
w=8
w = = 8 x

13. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H y
y + z = 29 M z
w + y + z = 37
w=8
x = 42 – 29 = 13
x=13

14. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H
y = 33
y=12
y + z = 29 M z
w + y + z = 37
w=8
y = 12
x=13

15. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H
y=12
y + z = 29 M
z=17
12 + z =29
w + y + z = 37
w=8
z = 17
x=13

16. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
x + y + z = 42
w + x + y = 33 A H
y=12
y + z = 29 M
z=17
w + y + z = 37
w=8
x=13

17. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
How many patients are there in the clinic?____
How many women have arthritis?_____ A H
y=12 M
z=17
w=8
x=13

18. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
How many patients are there in the clinic? 50
How many women have arthritis?_____ A H
y=12
= 50 M
z=17
w=8
x=13

19. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
How many patients are there in the clinic? 50
How many women have arthritis? 25 A H
y=12
= 25 M
z=17
w=8
x=13

20. A H Every patient in a pain management clinic has headaches or
arthritis. All of the headache sufferers are women.
There are 42 women. 33 of the patients have arthritis.
29 of the patients have headaches. 37 have headaches or are men.
How many patients are there in the clinic? 50
How many women have arthritis? 25 A H
y=12 M
z=17
w=8
x=13