Let X = {x | x is a whole number less than 15}, Y = { x | x is a multiple of 3}, Z = {x | x is a real number greater than or equal to 5.5}.
What is Upper X intersection Upper Y?
(1 point)
Responses
{0, 3, 6, 9, 12}
{0, 3, 6, 9, 12}
{3, 6, 9, 12, 15}
{3, 6, 9, 12, 15}
{...,negative 6, negative 3, 0, 3, 6, 9,...}
{..., Image with alt text: negative 6 , Image with alt text: negative 3 , 0, 3, 6, 9,...}
{..., negative 6, negative 3, 0, 3, 6, 9, 12}
{0, 3, 6, 9, 12}
To find the intersection of two sets, we need to find the elements that are common to both sets.
In this case, set X is defined as the whole numbers less than 15, so X = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}.
Set Y is defined as the multiples of 3, so Y = {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}.
To find the intersection of X and Y, we need to identify the numbers that are present in both sets.
The common elements are {0, 3, 6, 9, 12}, so the intersection of X and Y is {0, 3, 6, 9, 12}.
Hence, the answer is {0, 3, 6, 9, 12}.
To find the intersection of sets X and Y, we need to find the elements that are common to both sets.
Set X represents whole numbers less than 15, so it contains the elements {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}.
Set Y represents multiples of 3, so it contains the elements {0, 3, 6, 9, 12, 15, 18, ...}.
To find the intersection, we need to identify the elements that are present in both sets.
By comparing the two sets, we see that the common elements are {0, 3, 6, 9, 12}.
Therefore, the intersection of sets X and Y is {0, 3, 6, 9, 12}.
So the correct response is: {0, 3, 6, 9, 12}.