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Q&A #20740 |
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Hi, Muhammad, A subset of a set is a part of a set. For example, the integers are a subset of the rational numbers. A superset is a set that is union of two sets. For example, the positive integers, the negative integers and zero are all individual sets with no intersection. When they are joined together, we call them the integers. Proper and Improper are adjectives usually related to discussion of fractions. A proper fraction is one where the value of the numerator is less than the value of the denominator; for example, 2/3. An improper fractions is one where the value of the numerator is greater than the value of the denominator, for example, 3/2. I am not certain what you mean by "builder notation." I am not sure to what you are referring. Range and Domain are the names given to the two sets of numbers of a function. The range is the set of dependent variables and the domain is the set of independent variables. For example, for the rule that f(x) = 3x, x is the domain variable that is freely chosen and f(x) which is y is the range of variables that result from taking three times the independent variable. We say that the range and domain of a function f is the set of all ordered pairs (x, f(x)) = (x, y) that satisfy the functional rule. You might try http://intermath.coe.uga.edu/dictnary/homepg.asp for help in the future. -Marielouise, for the T2T service
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