👉 "Generalizes" in mathematics refers to a mathematical statement that is true for all elements of its domain. This means that if you substitute any element from your domain into the statement, it will always be true. For example, consider the statement "The square root of 49 is equal to 7." This statement is true for all numbers less than or equal to 7 (since the square root of a number is defined as the positive value that when multiplied by itself equals that number).