Question

Which of the numbers x, y, z, or w must equal 0 if A ∪ B = U?

U
A
B В
w
The number ___ must equal zero if A ∪ B = U.

Answer 1

One of the numbers x, y, z, or w must equal 0 if A ∪ B = U.

Step-by-step explanation:

One of the numbers x, y, z, or w must equal 0 if A ∪ B = U.

In order for the union of sets A and B to equal the universal set U, one of the numbers x, y, z, or w must equal 0. Let's assume that A is a set of numbers {x, y, z} and B is a set of numbers {w}. If A ∪ B = U, then all the elements in A and B must be in U, and U must contain at least one element that is not in A or B.

Since U contains all possible numbers, one of the elements in A or B must be 0 in order for the union A ∪ B to include all possible numbers. In order for the union of sets A and B to equal the universal set U, one of the numbers x, y, z, or w must equal 0. Let's assume that A is a set of numbers {x, y, z} and B is a set of numbers {w}. If A ∪ B = U, then all the elements in A and B must be in U, and U must contain at least one element that is not in A or B. Since U contains all possible numbers, one of the elements in A or B must be 0 in order for the union A ∪ B to include all possible numbers.