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}
{..., Image with alt text: negative 6 , Image with alt text: negative 3 , 0, 3, 6, 9, 12}
The correct answer is {0, 3, 6, 9, 12}. Both X and Y contain whole numbers less than 15 and multiples of 3 respectively. The intersection of these sets would include numbers that satisfy both conditions, which are 0, 3, 6, 9, and 12.
To find the intersection of two sets, we need to find the elements that are common to both sets.
In this case, X is the set of whole numbers less than 15, and Y is the set of multiples of 3.
To find the intersection of X and Y, we need to find the numbers that are both whole numbers less than 15 and multiples of 3.
The whole numbers less than 15 are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}.
The multiples of 3 are {0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...}.
The common elements between X and Y are {0, 3, 6, 9, 12}.
Therefore, the intersection of X and Y is {0, 3, 6, 9, 12}.