true
Draw the graph of the corresponding equality. This will divide the Cartesian plane into two parts.Evaluate the inequality for the origin, O - the point (0,0). Any point will do, but O it is easy to evaluate it there.It the inequality is true, then the part of the plane that contains the origin is the valid region whereas if the inequality is false, the other region is valid.
plane
True
it is called a half plane :)
true
Draw the graph of the corresponding equality. This will divide the Cartesian plane into two parts.Evaluate the inequality for the origin, O - the point (0,0). Any point will do, but O it is easy to evaluate it there.It the inequality is true, then the part of the plane that contains the origin is the valid region whereas if the inequality is false, the other region is valid.
plane
No it is not if you have a single inequality. It you had a single point as the solution, then it effect you would have an equality. If you have x> or equal to 1 and x< or equal to 1 then the graph is the single point 1. So it is possible with systems of inequalities.
True
it is called a half plane :)
true
-4
a graph
The graph of an inequality is a region, not a line.
we should prevent inequality by
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.