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How do you solve inequalities and graph the solutions?
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Why do you graph inequalities on a number line?
To find the solutions.
How would you know if the solutions you found from the graphs of linear inequalities in a system are true?
To verify the solutions of a system of linear inequalities from a graph, check if the points satisfy all the inequalities in the system. You can do this by substituting the coordinates of each point into the original inequalities to see if they hold true. Additionally, ensure that the points lie within the shaded region of the graph, which represents the solution set. If both conditions are met, the solutions are confirmed to be true.
How are solutions linear inequalites determined graphically?
Graph both inequalities and the area shaded by both is the set of answers.
Can every systems of inequalities has a solution?
Not every system of inequalities has a solution. A system of inequalities can be inconsistent, meaning that there are no values that satisfy all inequalities simultaneously. For example, the inequalities (x < 1) and (x > 2) cannot be satisfied at the same time, resulting in no solution. However, many systems do have solutions, which can be represented as a feasible region on a graph.
How do you solve inequalities and graph the solutions?
Go to www.yourteacher.com
Why do you graph inequalities on a number line?
To find the solutions.
When graphing inequalities why do you shade the graph?
The part that is shaded represents all the possible solutions. An inequality has solutions that are either left or righ, above or below or between two parts of a graph.
How are solutions linear inequalites determined graphically?
Graph both inequalities and the area shaded by both is the set of answers.
Graph the system of inequalities y-2 and x3?
Graph the following Inequalities: x > 3
Why it is necessary to use an empty circle to graph solutions of inequalities?
It is not necessary - it is a convention to distinguish between the end points of a range being included or not in the solution.
What is the definition of equivalent inequalities?
The definition of equivalent inequalities: inequalities that have the same set of solutions
Do solutions to systems of linear inequalities satisfy both inequalities?
Yes.
How do you solve questions that say which graph best represents the system of inequalities?
The solution to a system of inequalities is where the solutions to each of the individual inequalities intersect. When given a set of graphs look for the one which most closely represents the intersection, this one will contain the most of the solution to the the system but the least extra.
How do you know which region of the graph of a system of linear inequalities contains the solutions?
If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.
Which of the inequalities is represented by the graph?
.08>0.4
Must solutions to systems of linear inequalities satisfy both inequalities?
Yes.
