Question

Construct a venn diagram illustrating the sets below. U = {1,2,3,4,5,6,7,8,9} Y={1,3,4,6,7} Z={1,5,7}

Answer 1

Explanation:

Here is a Venn diagram illustrating the sets U, Y, and Z:

Y

_____|_____

| |

| |

| |

| |

Z | U |

| |

| |

| |

|_____ _|

|__ _|

Z

In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.