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Choose any point and substitute its coordinate into the inequality. If the inequality remains TRUE then the region containing the inequality is the one that you want. If it is false, then you want the region on the other side of the line. You can choose any point in the plane and substitute its coordinates into the inequality. The origin is usually the simplest.
An origin is the beginning for an object or concept. A person can similarly have a country of origin, the locale of his birthplace.In a coordinate system, an "origin" is a starting point.I believe that it is where a word comes from or originates.that is why it is called the "origin"it means the starting point. you can see the word orgin in the function graph in math too.
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.
algebraic inequality, is an inequality that contains at least one variable.
The inequality is maintained with the direction of the inequality unchanged.