In set theory, the union of two sets A and B contains all elements that are in either set A or set B. The intersection of two sets A and B contains all elements that are in both set A and set B. A compound inequality is a statement formed by two or more inequalities.
Union: In set theory, the union of two sets A and B, denoted as A ∪ B, is the set that contains all elements that are in either set A or set B, or in both.
For example, if A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B = {1, 2, 3, 4, 5}.
Intersection: The intersection of two sets A and B, denoted as A ∩ B, is the set that contains all elements that are in both set A and set B.
For example, if A = {1, 2, 3} and B = {3, 4, 5}, then A ∩ B = {3}.
Compound inequality: A compound inequality is a statement formed by two or more inequalities.
For example, 2 < x ≤ 5 is a compound inequality. It represents the range of values that satisfy both inequalities, where x is greater than 2 and less than or equal to 5.
The probable question may be:
Match the terms to their definition.
1. union
2. intersection
3. compound inequality
A. a statement formed by two or more inequalities
B. elements that are in both set A and set B
C. elements that are in either set A or set B