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.
The 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.
No, it is part of the solution set.
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.
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.
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.
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.
The Feasible Region
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".
Infinitely many. The solution space is part of a plane.
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.
No, it is part of the solution set.
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.
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.
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.
Inequality is a noun.
open circle menas it is not part of the solution set and closed circle means that it is part of the solution
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.
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.