Question

College mathematics

Construct a Venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8}
X={1,2,3,6,8}
Y={1,2,5,6}

Answer 1

Answer: See the Venn diagram below

Step-by-step explanation:

The numbers 1, 2, and 6 are in both set X and set Y. These numbers go in the overlapped region of the circles.

Since 1,2,6 is already taken care of, the remaining values in set X (3 and 8) will go in circle X, but outside circle Y.

The value 5 goes in circle Y, but it's outside circle X.

So far we talked about the numbers 1,2,3,5,6,8. But we're missing 4 and 7. These numbers go outside both circles. Everything is inside the universal set, i.e. the rectangle.