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That's not an inequality; an inequality needs a "greater than" or a "less than" sign. Those must have gotten lost when you typed the title. Anyway, basically you are supposed to replace the numbers one by one in the inequality, do the calculations, and see whether the resulting statement is true or not.
What else can I help you with?
How is solving an inequality different from solving an equation?
In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.
What is the set of all numbers that make the inequality 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.
What is a set of numbers that makes the equation or inequality true?
It is the solution set.
How many soloutions does an inequality have?
Quite often, it has infinitely many solutions. For example: x > 5 Any number greater than 5 will work here. It need not even be a whole number. It is also possible for an equation involving inequalities to have one or no solution. For instance: x squared < 0 Has zero solutions (at least, in the set of real numbers).
Which values from the set 12345 make the inequality true n 26?
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.
How many answers can you get in an inequality?
In an inequality, there can be infinitely many solutions, especially if the variable is unrestricted. For example, the inequality (x > 2) includes all real numbers greater than 2, leading to an infinite set of solutions. However, some inequalities may have a finite number of solutions, such as when the variable is restricted to integers. Ultimately, the number of solutions depends on the specific inequality and the domain of the variable involved.
How is solving an inequality different from solving an equation?
In solving an inequality you generally use the same methods as for solving an equation. The main difference is that when you multiply or divide each side by a negative, you have to switch the direction of the inequality sign. The solution to an equation is often a single value, but the solution to an inequality is usually an infinite set of numbers, such as x>3.
What is the set of all numbers that make the inequality 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.
What is a set of numbers that makes the equation or inequality true?
It is the solution set.
What are 3 solutions for inequality for y9?
Three solutions for inequality in Year 9 math include: Graphing: Plotting the inequality on a graph helps visualize the solution set, showing all the points that satisfy the inequality. Substitution: Testing specific values in the inequality can help determine if they satisfy the condition, providing a practical way to find solutions. Algebraic Manipulation: Rearranging the inequality by isolating the variable can simplify the problem and lead directly to the solution set.
How many solution sets do systems of linear inequalities have Must solutions to systems of linear inequalities satisfy both inequalities In what case might they not?
A solution to a linear inequality in two variables is an ordered pair (x, y) that makes the inequality a true statement. The solution set is the set of all solutions to the inequality. The solution set to an inequality in two variables is typically a region in the xy-plane, which means that there are infinitely many solutions. Sometimes a solution set must satisfy two inequalities in a system of linear inequalities in two variables. If it does not satisfy both inequalities then it is not a solution.
The solutions to a linear inequality are the points in the plane that make the inequality true?
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
How can you use a number line to represent solutions of an inequality?
A number line can visually represent the solutions of an inequality by marking the relevant points and shading the appropriate region. For example, if the inequality is ( x > 3 ), you would place an open circle at 3 (indicating that 3 is not included) and shade to the right to show all numbers greater than 3. Conversely, for ( x \leq 2 ), you would place a closed circle at 2 and shade to the left to indicate all numbers less than or equal to 2. This method provides a clear visual representation of the solution set.
Can a quadratic inequality have a solution set that is all real numbers?
Yes. Consider x2 ≥ 0
What does linear inequality mean?
A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥. It represents a range of values for which the linear expression holds true, often depicted graphically as a shaded region on one side of a line in a coordinate plane. Unlike linear equations, which have exact solutions, linear inequalities define a set of possible solutions. For example, the inequality (2x + 3 < 7) indicates that any value of (x) that satisfies this condition is part of the solution set.
How is the solution in a system of inequalities determine?
An inequality determines a region of space in which the solutions for that particular inequality. For a system of inequalities, these regions may overlap. The solution set is any point in the overlap. If the regions do not overlap then there is no solution to the system.
Definition of a set in algebra?
a set is defined as a collection of objects. In algebra, it is usually a collection of numbers and often a collection of solutions.
