Question

Let X and Y be the following sets: X = {3, 8, 9,12} Y = {8, 9} Which of the following is the set X \Y?

a) {}
b) {3, 8, 9, 12}
c) {8, 9}
d) {3, 12}

Answer 1

The set X \ Y is found by removing elements from set X that are also in set Y. Upon removing these elements, the resulting set X \ Y is {3, 12}, so the correct answer is option (d).

Step-by-step explanation:

The question is asking for the set difference of X and Y, denoted as X \ Y. This operation involves finding elements that are in set X but not in set Y. To find X \ Y, we compare elements in both sets and only keep those that are unique to set X.

X = {3, 8, 9, 12}
Y = {8, 9}

We remove the elements 8 and 9 from set X, as these are present in set Y.

Therefore, the set X \ Y is {3, 12}. The correct answer is option (d).