which of the following is the name for an algebraic statement that includes the greater- than or less- than symbols ?

inequality because it holds a relation between two different (not equal) values

The name for an algebraic statement that includes the greater-than or less-than symbols is called an inequality. Inequalities are used to compare values and express relationships between them. To identify an inequality, you need to look for the presence of the symbols "<" (less than) or ">" (greater than).