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What does solutions mean in math?
An open statement is a sentence that contains a variable , such as x. The solution set for an open sentence is the set of values that when substituted for the variable make a true statement. The members of the solution set are called solutions. Examples: x = 2. Solution set is {2} solution is 2. x2 - 5 = 4 Solution set is {-3, 3 } solutions are -3 and 3. x > 0 Solution set = {x " x > 0 } That is all positive numbers. Every positive number is a solution. There are some finer points that I did not mention such as the possibility of more than one variable and limitations on the values that allowed in the substitutions.
To evaluate a variable expression you must do what to values for the variable?
You must substitute values for the variable.
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
How do you know when an algebraic equation has infinitely many solutions?
A system of equations has an infinite set of solutions when the equations define the same line, such that for ax + by = c, the values for two equations is a1/a2 + b1/b2 = c1/c2. Equations where a variable drops out completely, e.g. 3x - y = 6x -2y there are either an infinite number of solutions, or no solution at all.
What is a boolean variable?
A Boolean variable is a variable from Boolean algebra having one of only two values.
How can you have different values in algebraic expressions?
When the value of a variable in an algebraic expression changes, the value of the expression can change.
Two algebraic expressions are if they have the same value for all values of their variable?
They are identical or equivalent.
What are numerical expressions that are equal or algebraic expressions that are equal for all values of the variable?
483h4yg3h45
What are algebra inequalities?
Linear algebraic inequalities can be described as an expression with a variable >/< an expression with a variable. For example, 2x<90 so x<45. Inequalities don't yield a particular solution, but rather solution sets. In the above example, x<45, means that the solution set is all of the values less than 45.
What is a solution to an open sentence?
an open sentence can be either true or false, depending on what values are substituted for the variables. A SOLUTION of an open sentence with on variable is a value that makes the sentence true. The solution of the equation x+3=5 is 2. One solution of the inequality x-1>4 is 6, and there are many more solutions. hope this helps
What are the values of a variable that make an equation true?
It is the solution; sometimes also called the root.
What does solutions mean in math?
An open statement is a sentence that contains a variable , such as x. The solution set for an open sentence is the set of values that when substituted for the variable make a true statement. The members of the solution set are called solutions. Examples: x = 2. Solution set is {2} solution is 2. x2 - 5 = 4 Solution set is {-3, 3 } solutions are -3 and 3. x > 0 Solution set = {x " x > 0 } That is all positive numbers. Every positive number is a solution. There are some finer points that I did not mention such as the possibility of more than one variable and limitations on the values that allowed in the substitutions.
What is the solution of an identity?
By definition, an identity is true for all values of the variable. So the solution is the whole of the domain.
What is the meaning of solution of an equation?
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
What is the Solution Set in mathematical terms?
Is the set of all values for the variable that make the equation true.
What does solution of an equation mean?
It is a set of values for the variable or variables in the equation such that, when those values are put into the equation, the resulting mathematical statement is true. The term can also refer to the process of finding a solution.
What does it mean to find the value of an algebraic expression?
When a given set of values for the variables are substituted in the expression the result is the value of the expression.
