Question
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 ? (1 point) Responses {0, 3, 6, 9, 12} {0, 3, 6, 9, 12} {3, 6, 9, 12, 15} {3, 6, 9, 12, 15} {...,, , 0, 3, 6, 9,...} {..., Image with alt text: negative 6 , Image with alt text: negative 3 , 0, 3, 6, 9,...} {..., , , 0, 3, 6, 9, 12}
Answers
GPT 3.5
The set X consists of all whole numbers less than 15, so X = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}.
The set Y consists of all multiples of 3, so Y = {0, 3, 6, 9, 12}.
The set Z consists of all real numbers greater than or equal to 5.5, so Z = {x | x ≥ 5.5}.
To find the intersection of these sets, we need to find all the elements that are common to both sets X and Y, and also belong to set Z.
The common elements between X and Y are {0, 3, 6, 9, 12}.
However, none of these elements are greater than or equal to 5.5, so the intersection of X, Y, and Z is the empty set, denoted by {}.
Therefore, the correct answer is {}.
The set Y consists of all multiples of 3, so Y = {0, 3, 6, 9, 12}.
The set Z consists of all real numbers greater than or equal to 5.5, so Z = {x | x ≥ 5.5}.
To find the intersection of these sets, we need to find all the elements that are common to both sets X and Y, and also belong to set Z.
The common elements between X and Y are {0, 3, 6, 9, 12}.
However, none of these elements are greater than or equal to 5.5, so the intersection of X, Y, and Z is the empty set, denoted by {}.
Therefore, the correct answer is {}.