<span>If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find:
i) A U B
That mean to list all numbers that are either in A, in B, or in both.
So A U B = {1,3,5,6,7,9}, for they are in A, B or both.
ii) the complement of (A U B)
That means to list all the numbers that are listed in one of the sets
above but which are NOT in A U B, which we just found in i):
Complement of A U B is {2,4,8}, for these are the ones not in A U B
iii) the intersection of B and C
This means to list ONLY the ones that are in BOTH B and C
Intersection of B and C = {1,6}
iv) find n(A U B)
That means to count the elements in A U B. There are 6.
v) list all the subsets of B
B = {1,5,6,7}
There is just one subset with no members, the empty set,
or
There are four subsets with just one member:
{1}, {5}, {6}, {7}
There are six subsets with two members:
{1,5), (1,6), (1,7}, {5,6}, {5,7}, {6,7}
There are four subsets with three members:
(1,5,6), (1,5,7}, {1,6,7}, {5,6,7}
There is just one subset with four members,
namely the whole set A:
{1,5,6,7}
So altogether there are 1+4+6+4+1 or 16 subsets of {1,5,6,7}.</span>
Start off with a chart (you don't really need to but it helps) Piano lessons 5,10,15,20,25,30 Cooking Classes 6,12,18,24,30 every 30 days, you have both lessons so you will have them on the 60th day
Well, it's surely at least one mile! 8900 is bigger than 5280. And how much more than one mile? let's subtract 5280 from 8900:
8900-5280=3620. now, this is less than another mile: so it's more than 1 but less than 2 miles: only options 3) and 4) are possible.
so the exact answer is 1.685 and an approximation is 1.7 (because from digit 5 up we round up: 1.64 would be rounded down to 1.6)- the correct answer is 4)!!!