Solution Set Solution Math Definition

For example for a set of polynomials over a ring the solution set is the subset of on which the polynomials all vanish evaluate to 0 formally. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. For example the equation x 6 4 has a solution 10.

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In this tutorial you ll learn the definition of a solution set and see an example.

Solution set solution math definition. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. The feasible region of a constrained optimization problem is the solution set of the constraints. Solution set dictionary definition solution set defined for example x is the coefficient in the expression x a b and 3 is the coefficient in the term 3y. Also check the set symbols here.

Illustrated definition of solution. Solution set definition the solution set for an equation is the set of all numbers that when used in the place of the variable makes the equation a true statement. Mathematics the set of all the solutions of an equation or condition. I if x and y are disjoint sets then the value of n x y will be maximum.

When an equation has two variables the set of ordered pairs that are the solution to the equation are called the solution set to the equation. A value or values we can put in place of a variable such as x that makes the equation true. A factor shared by two or more numbers common factors are numbers that divide exactly into two different numbers. For example for a set of polynomials over a ring the solution set is the subset of on which the polynomials all vanish evaluate to 0 formally.

When x 10 the equation becomes the true statement. Unfortunately such answers echo the laconic style that has become standard in textbook solution sets including those of fraleigh beauregard shifrin adams and lay. Sets in mathematics are an organized collection of objects and can be represented in set builder form or roster form usually sets are represented in curly braces for example a 1 2 3 4 is a set. In sets theory you will learn about sets and it s properties.

So maximum value of n x y n x n y 6 9 15 again if x is the subset of y then the value of n x y will be minimum. Solution sets for equations the set containing all the solutions of an equation is called the solution set for that equation.