Four universities—1, 2, 3, and 4—are participating in a holiday basketball tournament. in the first round, 1 will play 2 and 3 will play 4. then the two winners will play for the championship, and the two losers will also play. one possible outcome can be denoted by 1324 (1 beats 2 and 3 beats 4 in first-round games, and then 1 beats 3 and 2 beats 4). (enter your answers in set notation. enter empty or ∅ for the empty set.)
(a) list all outcomes in . = 1324,1342,3124,3142,1423,1432,4123, 4132,2314,2341,3214,3241,2413,2431, 4213,4231 (b) let a denote the event that 1 wins the tournament. list outcomes in a. a = {1324,1342,1423,1432} (c) let b denote the event that 2 gets into the championship game. list outcomes in b. b = {2314,2341,3214,3241,2413,2431,4213 ,4231} (d) what are the outcomes in a ∪ b? a ∪ b = {1324,1342,1423,1432,2314,2341,3214 ,3241,2413,2431,4213,4231} what are the outcomes in a ∩ b? a ∩ b = ∅ what are the outcomes in a' ? a' = {3124,3142,1423,4123,4132,2314,2341 ,3214,3241,2413,2431,4213}

i.   A∪B = (1324,1342,1423,1432,2314,2341,3214,3241,2413,1431,4213,4231)

ii.    A¹ = (3124,3142,4123,4132,2314,2341,3214,3241,2413,2431,4213,4231)

Step-by-step explanation:

A union set is the collection of elements in two or more subsets. Here set A is equal to (1324,1342,1423,1432) and set B is equal to (2314,2341,3214,3241,4213,4231,3214,3241).

A∪B = (1324,1342,1423,1432,2314,2341,3214,3241,2413,1431,4213,4231)

ii. the complement of a set represent those elements in the universal set which are not in a given subset.

U = (1324,1342,3124,3142,1423,1432,4123,4132,2314,2341,3214,3241,2413,2431,4213,4231),

 A¹ =  (3124,3142,4123,4132,2314,2341,3214,3241,2413,2431,4213,4231).this represents elements in the universal set U which are not in the set of A.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.