Consider the set THE = {0, 1, 2, 3, 4, 5} and the equation x + 2 = 5.
Note that set number 3 THE is called universe set of the equation and the set {3} is the truth set of this same equation.
Note this other example:
Determine the integers that satisfy the equation x² = 25.
The set of integers is the universe set of the equation. The numbers -5 and 5, which satisfy the equation, form the truth set and can be indicated by:
V = {-5.5}.
Hence, we conclude that:
Universe set is the set of all values the variable can assume. It is indicated by U. Truth set is the set of values of U that make the equation true. It is indicated by V.Comments:
- The truth set is a subset of the universe set.
- Not being mentioned the universe set, we must consider as a universe set the set of rational numbers.
- The truth set is also known as solution set and may be indicated by s.
