## kwashondap 2 years ago The set O represents the maximum temperatures, in degrees Fahrenheit, recorded in the city of Orlando in a year. O = {71, 71, 72, 73, 77, 77, 79, 83, 84, 89, 90, 91} The set T represents the maximum temperatures, in degrees Fahrenheit, recorded in the city of Tampa in a year. T = {70, 72, 76, 78, 81, 81, 84, 86, 86, 89, 90, 90} How many elements are in the set O ∪ T? 24 15 5 4

1. tyteen4a03

The ∪ symbol means union, which means every elements in both sets. Note that there's a catch: the same number will not appear twice in this new union set. For example if we have: A = {1, 3, 4, 5, 6, 7} and B = {1, 4, 8, 9, 15} Then A ∪ B will be {1, 3, 4, 5, 6, 7, 8, 9, 15}.

2. kwashondap

so ?

3. tyteen4a03

So, you put every element from both sets in a new set, then eliminate any duplicates in this new set.

4. kwashondap

still lost

5. amistre64

it helps if we know what your lost on ....

6. tyteen4a03

@amistre64 Ninja'd :P

7. kwashondap

the whole thing

8. amistre64

write down all the elements of each set together each value only needs to be accounted for one time, and one time only; so duplicates can be erased. what is left is the number of elements in the set for the solution

9. tyteen4a03

@kwashondap An example: A = {1, 2, 3} B = {2, 4, 5} Find A ∪ B. Remember that ∪ means union, which basically boils down to putting the two sets together, then eliminate the duplicates. Firstly put them together: O = {1, 2, 2, 3, 4, 5} Now that ∪ means no duplicates, so eliminate the extra 2 and you'll get the final set: A ∪ B = {1, 2, 3, 4, 5}.

10. amistre64

O = {71, 71, 72, 73, 77, 77, 79, 83, 84, 89, 90, 91} T = {70, 72, 76, 78, 81, 81, 84, 86, 86, 89, 90, 90} lets go ahead and clean out the duplicates from each set O = {71, 72, 73, 77, 79, 83, 84, 89, 90, 91} T = {70, 72, 76, 78, 81, 84, 86, 89, 90} now lets clean out the duplicates that each set has in common O = {71, 73, 77, 79, 83, 84, 89, 90, 91} T = {70, 72, 76, 78, 81, 86} now that there are no longer any duplicate values, how many elements are left?