For questions 3‒4, let X = {x | x is a whole number less than 15}, Y = { x | x is a multiple of 3 less than 15 }, Z = {x | x is a real number greater than or equal to 5.5}. What is X∩Y? (1 point) Responses {0, 3, 6, 9, 12} {0, 3, 6, 9, 12} {3, 6, 9, 12, 15} {3, 6, 9, 12, 15} {...,–6, –3, 0, 3, 6, 9,...} {...,–6, –3, 0, 3, 6, 9,...} {..., –6, –3, 0, 3, 6, 9, 12}
To find X∩Y, we need to find the elements that are common to both sets X and Y.
X = {x | x is a whole number less than 15} = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
Y = { x | x is a multiple of 3 less than 15 } = {0, 3, 6, 9, 12}
The intersection of X and Y, which is X∩Y, is {0, 3, 6, 9, 12}.
Therefore, the correct response is {0, 3, 6, 9, 12}.