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It is standard procedure to shade the area where the Inequality does NOT apply, leaving the unshaded area to show where the Inequality is valid.
Choosing a simple illustration, the Inequality y > 6 would be graphically represented by a dotted line passing though y = 6 and parallel to the x-axis. The area below this line would be shaded as this represents the zone where y < 6.
Note : A broken/dotted line is used to illustrate the boundary where a true Inequality applies (e.g. < or >). A solid line is used where the Inequality also includes an equals sign (e.g. ≤ less than or equal to, or ≥ greater than or equal to ).
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How is graphing a linear inequality on a coordinate plane different from graphing an inequality on a number line?
The first is 2-dimensional, the second is 1-dimensional.
How is graphing an inequality different from graphing a line on a coordinate plane?
Whereas the procedure for a linear equality is the same, the inequality defines all of the plane on one side (or the other) of the corresponding line.
How do you determine which area of the graph of an inequality?
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.
What is coordinate plane or coordinate system?
graphing tool
How do you solve 2x plus y equals 0 and x-y equals 6 graphing?
By graphing the lines on the coordinated plane they will intersect at (2, -4) which is the solution of the equations
