Answer:
A ∩ B = {3, 9}
Step-by-step explanation:
First we find the possible values for the set A.
By launching the number cubes you can only get numbers from 1 to 6
You can get:
[tex]A = \{3, 5, 7, 9, 11\}[/tex]
For set B you can get:
[tex]B = \{3, 6, 9, 12\}[/tex] The numbers that are divisible by 3
The set A ∩ B will be formed by the elements that are in A and are also in B. In this case they are: the odd numbers that are divisible by 3
Finally we have that:
A ∩ B = {3, 9}
Answer:
A ∩ B = {3,9}
Step-by-step explanation:
Consider the completer question is "Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B. Options : {1,3,5,7,9,11} , {1,3,9} , {3,9}, {3,9,12}"
It is given that Stephanie is playing a board game and rolls two number cubes.
Let A = {The sum of the number cubes is odd}
A = {3,5,7,9,11}
B = {The sum of the number cubes is divisible by 3}
B = {3,6,9,12}
We need to find the outcomes in A ∩ B.
It means we need to find the common elements of A and B.
A ∩ B = {3,9}
Therefore, the required set of values is {3,9}.
