Answer:
a. T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b. X = { -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c. U = {0, 1, 2, 3, 4, 5, 6}
d. Z = {0, 1, 2}
Step-by-step explanation:
n1 = 6 pumps
n2 = 4 pumps
a. The total number of pumps in use:
The number of pumps in use can range from 0 (no pumps used in both stations) to 10 (all pumps used in both stations), assuming all integers in between. Thus, the set T is:
T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b. The difference between the numbers in use at stations 1 and 2 can range from -4 (no pumps in station 1 and all pumps in station 2 being used) to 6 (all pumps in station 1 and no pumps in station 2 being used), assuming all integers in between. Thus, the set X is:
X = { -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
c. The maximum number of pumps in use at either station is given by the possible numbers of pumps at use in station 1 (From 0 to 6). The set U is:
U = {0, 1, 2, 3, 4, 5, 6}
d. The number of stations having exactly two pumps in use can be neither, one or both. The set Z is:
Z = {0, 1, 2}
