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When we plot all the points that satisfy an equation or inequality what do we do?
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
When graphing the solution set of an inequality on a number line what is used to show that an endpoint is not included in the solution set?
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What values are solution to the inequality of x if less than or equal to 5 squared?
We say a solution to an inequality f(x) >= g(x) , is the set of all x such that the in equality is satisfied. It will look like this: For all x >= (<=) something, the condition is satisfied. Now, write your question out. x <= 5^2 Looks like a solution to me.
What is the solution set of the compound inequality x plus 1 is less than neg2x plus 11 is less than 3x plus 5?
This compound inequality cannot be solved.
How does solving linear inequalities differ from solving linear equations?
Linear inequalities are equations, but instead of an equal sign, it has either a greater than, greater than or equal to, less than, or a less than or equal to sign. Both can be graphed. Solving linear equations mainly differs from solving linear inequalities in the form of the solution. 1. Linear equation. For each linear equation in x, there is only one value of x (solution) that makes the equation true. Example 1. The equation: x - 3 = 7 has one solution, that is x = 10. Example 2. The equation: 3x + 4 = 13 has one solution that is x = 3. 2. Linear inequality. On the contrary, a linear inequality has an infinity of solutions, meaning there is an infinity of values of x that make the inequality true. All these x values constitute the "solution set" of the inequality. The answers of a linear inequality are expressed in the form of intervals. Example 3. The linear inequality x + 5 < 9 has as solution: x < 4. The solution set of this inequality is the interval (-infinity, 4) Example 4. The inequality 4x - 3 > 5 has as solution x > 2. The solution set is the interval (2, +infinity). The intervals can be open, closed, and half closed. Example: The open interval (1, 4) ; the 2 endpoints 1 and 4 are not included in the solution set. Example: The closed interval [-2, 5] ; the 2 end points -2 and 5 are included. Example : The half-closed interval [3, +infinity) ; the end point 3 is included.
How are equations different from inequalities?
Equations are statements that state two expressions are equal, while inequalities are statements that state two expressions are not equal, meaning one is greater or less than the other. The graph of the solution set of an equation is a line or a curve, while the graph of the solution set of an inequality is a region at one side of the boundary line or curve obtained by supposing that the inequality was an equation.
What is the set of all numbers that make the inequality true?
It is the solution set for that particular inequality.
How do you solve an inequality that has two different variables?
If this is school work, the solution is as follows: Treat the inequality as an equality and graph the relevant line (straight or curved). Set both variables equal to 0 and find out whether or not the inequality at (0,0) is true. If the inequality is false, reject (shade out) all of the plane on the side of the line that contains the origin while if it is true, reject the part of the plane beyond the line. The unshaded part is the valid (or feasible) region.
What is the solution set for 2x2 plus 2x plus 1?
There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.There can be no solution set because there is no equation nor an inequality - only an expression.
What are soultions that set of inequality 13x 2665?
Unfortunately, due to limitations of the browser that was used to post this question, the inequality symbol is not shown. Please resubmit using words such as "less than" or "greater than or equal to".
In a nonlinear inequality which region represents the set of points that satisfy the inequality?
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How do you solve a multi-step inequalities?
Multi-step inequalities can be solved in the same manner as multi-step equations.Follow these steps in solving a multi-step inequality: Remove all grouping symbols.Combine like terms on each side of the inequality.Use the addition property of inequality to get the variable term on one side and constant on the other.Use the multiplication property of inequality to make the coefficient on the variable 1.Check your answer.It is impossible to check every answer of an inequality because the solution set is infinite, but you can test some of the elements in the solution set.
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.
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.
What is a set of numbers that makes the equation or inequality true?
It is the solution set.
What is the set of values for which an equation or inequality is true?
It is called the solution set.
Graph the solution set of the linear inequality 5x-2y4?
graph the inequality 5x+2y<4
