What does solutions mean in math?

Answer 1

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.