How does the inequality symbol affect the graph of an inequality with two variables?
Instead of the answer being a curve, it is a region.
For example, if y > x2 + 4, the answer is not the parabola y = x2 + 4. Instead it is the region above the parabola (as if the bowl were filled with something.)
When graphing a linear inequality in two variables how do you know if the inequality represents the area above the line?
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…
The simplest way is probably to plot the corresponding equality in the coordinate plane. One side of this graph will be part of the feasible region and the other will not. Points on the line itself will not be in the feasible region if the inequality is strict (< or >) and they will be if the inequality is not strict (â‰¤ or â‰¥). You may be able to rewrite the inequality to express one…
Get the variables on one side of the inequality sign, and the numbers on the other side. You do this by using inverse operations. Divide the number by the variable. If you divide using a negative number you flip the inequality sign. An example of what you are looking at should look like x > 3. You would graph this example by drawing a number line, then putting an open cirlce at three, and shading…
If the graph is a two-dimensional plane and you are graphing an inequality, the "greater than or equal to" part will be shown by two things: (1) a solid, not a dotted, line--this part signifies the "or equal to" option--and (2) which region you shade. Shade the region that contains the points that make the inequality true. By shading that region, you are demonstrating the "greater than" part.
Suppose y is alone on the left side of an inequality After you graph the boundary how can you decide whether to include the boundary in the graph and which region to shade?
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.
Normally, only two variables are assigned to a table graph, one for each axis. You can, however, extend the variables included in a graph by using the box color as an indicator, although this is abnormal and may become confusing and as such its probably best to stick with two variables, an independent and dependent variable.