Identify the set of real numbers and the particular bounded elements that correspond to the variable. The set of real numbers, denoted as R, contains any rational or irrational number that could potentially exist on a number line continuum. Essentially, imaginary numbers and both negative and positive infinity are the only values that are not real numbers. For example, assume that a variable, x, could describe any real number greater than 2.
Decide whether a strict or nonstrict inequality is needed. In the example, all real numbers greater than 2 need to be identified as possible values of x. Since 2 is not included, but every conceivable real number after 2 is (that is, 2.001, 10, 500, and so on), a strict inequality is needed. The greater than symbol, >, should then be used.
Write the set as an inequality signifying that a variable, x, is greater than 2 for all real numbers.
x > 2, where x is a subset of R