Question

Let A=x∈Z and B = x∈Z ∧0⩽x⩽2. Please continue or specify what you need to do with sets A and B in this context.

Answer 1

Set A is the set of integers between 1 and 3, inclusive, while set B is the set of integers obtained by multiplying x by 3 and subtracting 1. Various set operations can be performed on sets A and B, such as union, intersection, and complement. Venn diagrams can be used to represent these sets.

Step-by-step explanation:

The set A is defined as A= 1⩽x⩽3, which means A is the set of integers where x is between 1 and 3, inclusive. The set B is defined as B = 3x-1 , which means B is the set of integers where x is between 0 and 2, inclusive, and each integer in B is obtained by multiplying x by 3 and subtracting 1.

To continue with sets A and B, you can perform various set operations such as union (A ∪ B), intersection (A ∩ B), and complement (A' or B'). These operations can be used to find the elements that are common to both sets, the elements that belong to either of the sets, and the elements that belong to one set but not the other. You can also find the cardinality (number of elements) of the sets and represent them using Venn diagrams.