Question

Let X and Y be the following sets:

X = {121, 144, 169}
Y = {11, 12, 13, 121, 144, 169}
Which of the following is the set X ∩ Y?
Option 1: {121, 144, 169}
Option 2: {11, 12, 13, 121, 144, 169}
Option 3: {11, 12, 13}
Option 4: {}

Answer 1

The intersection of sets X and Y is the set containing elements common to both sets, which in this case is {121, 144, 169}, corresponding to Option 1.

Step-by-step explanation:

The student has asked for the intersection of two sets, X and Y. In set theory, the intersection of two sets, denoted by X ∩ Y, is the set that contains all elements that are both in set X and set Y. So, we compare the elements of the two given sets X = {121, 144, 169} and Y = {11, 12, 13, 121, 144, 169} to determine which elements are common to both.

Upon comparing, we find that the numbers 121, 144, and 169 are in both sets X and Y. Therefore, the intersection of sets X and Y is {121, 144, 169}, which corresponds to Option 1.