Solution Set Definition Math

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.

Solution set definition math. If it is a single number then we use the same notation as we used for equations. An example of a solution set is 0 1 and 2 for 4x 4 4. For example the equation x 6 4 has a solution 10. Displaystyle x in r forall i in i f i 0 the feasible region of a constrained optimization problem is the solution set of the constraints.

In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. If the solution set is a range of numbers as the one we looked at above is we will use something called set builder notation. A solution to an inequation is a number chosen from the replacement set which satisfy the given inequation.

For example the equation x 6 4 has a solution 10. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities. The definition of a solution set is the group of numbers that can satisfy an equation. Solution set definition the solution set for an equation is the set of all number s that when used in the place of the variable makes the equation a true statement.

I i f i 0. In this tutorial you ll learn the definition of a solution set and see an example. The set of all solutions of an inequation is known as solution set of the inequation. For example for a set f i displaystyle f i of polynomials over a ring r displaystyle r the solution set is the subset of r displaystyle r on which the polynomials all vanish formally x r.

When x 10 the equation becomes the true statement. Definition of solution set and synonyms of. 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. 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 solution set.

Depending on the complexity of the inequality the solution set may be a single number or it may be a range of numbers. In mathematics a solution set is the set of values that satisfy a given set of equations or inequalities.