Question

If A = (-0,3) and B[insert missing information], then find A ∪ B.

A. B = [3,9]
B. B = (0,6)
C. B = [-3,0)
D. B = (3,[infinity])

Answer 1

The union of sets A and B in each provided option includes all distinct values from both sets, combining open, closed, and infinite intervals appropriately.

Step-by-step explanation:

In the context of set theory, the union of two sets (A ∪ B) contains all distinct elements that appear in set A, set B, or both. In this scenario, we are given set A = (-0,3), which represents the open interval from just above 0 to 3. We have four different options for set B and are asked to find the union of sets A and B for each case.

This answer depends on the mathematical operation of union and the understanding of open, closed, and infinite intervals in set theory.