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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.
An expression that contains at least one variable is called a?
An expression that contains at least one variable is called an algebraic expression. Algebraic expressions consist of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. These expressions can be simplified or evaluated by substituting specific values for the variables. Algebraic expressions are fundamental in algebra and are used to represent mathematical relationships and solve equations.
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.
