If the statement is a mathematical equation, than those values are its "solutions".
The number of them depends on the equation. There may be only one, more than one,
or no solutions at all.
It is the solution set.
The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
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 determine which values from the set {1, 2, 3, 4, 5} make the inequality n < 26 true, we need to find all numbers in the set that are less than 26. In this case, the values that satisfy the inequality are 1, 2, 3, 4, and 5. Therefore, the values from the set {1, 2, 3, 4, 5} that make the inequality n < 26 true are 1, 2, 3, 4, and 5.
The part of a linear equation that makes the problem true is the solution or the set of values that satisfy the equation. This is typically represented as the values of the variables that, when substituted into the equation, result in a true statement. For example, in the equation (y = mx + b), the specific values of (x) and (y) that satisfy this relationship make the equation true. The equality represents a balance between the two sides of the equation, identifying valid solutions.
The values or set of values that make an inequality or equation true are called solutions or roots. In the case of equations, these values satisfy the equation when substituted into it, while for inequalities, they make the inequality hold true. Finding these solutions is a fundamental aspect of algebra and helps in understanding the relationships between variables.
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.
A statement that runs only if the set condition for it is true
true
It is called the solution set.
Solution set
true
The empty set is open because the statement: "if x in A, some neighborhood of x is a subset of A" is true! If A is empty, the hypothesis: "if x in A" is false and so the statement is vacuously true.
Is the set of all values for the variable that make the equation true.
It is the solution set.
the statment would be "you will shoot me"