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How can you check to see if a number is part of the solution set of an inequality?
Wiki User
∙ 8y ago
You replace the variable by the number, do all specified calculations, and then check whether the resulting inequality is true or false. This is basically not very different from checking a solution of an equation.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoThe method of checking is the same for equations as it is for inequalities. Replace the value of the variable by the number that you wish to check. Then simplify. If the result is true then the number is part of the solution set and if not, it is not.
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Is any value that makes an equation or inequality true when substituted form the unknown?
No, it is part of the solution set.
What will the line be if the inequality has a line underneath it?
If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.
How does the graph of an inequality compare to its related function?
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
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 the inequality x less than w?
This can't be written any simpler. Any "x" that is smaller than "x" will be part of the solution set. Obviously there are infinitely many solutions.
What part of an inequality graph represents the solution?
The Feasible Region
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".
How many solutions are there to a linear inequality?
Infinitely many. The solution space is part of a plane.
On a graphed inequality is a point that is on the line part of the solution?
It depends upon the inequality. All points on the line are those which are equal, thus:If the inequality is (strictly) "less than" () then the points on the line are not included; howeverif the inequality is "less than or equals" (≤) or "greater than or equals" (≥) then the points on the line are included.
Is any value that makes an equation or inequality true when substituted form the unknown?
No, it is part of the solution set.
What will the line be if the inequality has a line underneath it?
If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.If I understand the question correctly, the inequality is not strict. This means that points on the line are part of the solution and so the line is shown as a solid line rather than a dashed line.
How does the graph of an inequality compare to its related function?
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
Which point is NOT part of the solution of the inequality y 3x 1?
The inadequacies of the browser which is used to post questions on this site means that we cannot see the inequality sign. It is, therefore, not possible to give an answer to the question.
What part of speech is inequality?
Inequality is a noun.
What shows the number on the number line is not a member of the solution set?
open circle menas it is not part of the solution set and closed circle means that it is part of the solution
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.
Can linear equations and linear inequality be solved the same way?
Basically. If the inequality's sign is < or ≤, then you shade the part under the line. If the inequality's sign is > or ≥, then you shade the part over the line.
