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 XnY? (1 point)

A- {0,3,6,9,12}

B- {3,6,9,12,15}

C- {..., -6,-3,0,3,6,9}

D- {..., -6,-3,0,3,6,9,12}

Answer 1

X = { 0, 1, 2, 3, 4, 5, 6, 7, ... , 14 }

Y = { 0, 3, 6, 9, 12, 15, 18, ... }

Z = {x| x ∈ R ∧ x ≥ 5.5 }

X ∩ Y = { 0, 3, 6, 9, 12 }

Answer: A

The intersection X ∩ Y, is the set of all things that are members of both X and Y.

Answer 2

Answer:  The correct option is

(A) {0,3,6,9,12}.

Step-by-step explanation:  We are given the following three sets :

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}

We are to find the set X∩Y.

The elements in the given sets X, Y and Z can be written as follows :

$X=\{0,1,2,3,4,5,6,7,8,9,10,11,12,13,14\},\\\\Y=\{0,3,6,9,12,15,...\},\\\\Z=[5.5,\infty).$

The set X∩Y will contain all the elements that are present in both X and Y.

Therefore, we get

X∩Y = {0,3,6,9,12}.

Thus, (A) is the correct option.