The line that includes whatever variables are included in the equation.
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
The first is 2-dimensional, the second is 1-dimensional.
They are the same.
The line that includes whatever variables are included in the equation.
In an inequality, you have to shade a side of a line to see show if the possible answers are greater than or equal to it
Not greatly. To graph an inequality, you start off graphing the corresponding equality. It is only then that you select one side or the other (with or without the graph itself), as the region of interest.
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
The first is 2-dimensional, the second is 1-dimensional.
The first is 2-dimensional, the second is 1-dimensional.
They are the same.
If the inequality has a > or ≥ sign, you shade above the line. If the inequality has a < or ≤ sign, you shade below it. Obviously, just an = is an equation, not an inequality.
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.
You cannot solve x plus y since that is an expression, not an equation (nor inequality).
y -x - 2 is not an equation (nor an inequality) and so there is no way to graph it.
When graphing a linear inequality, the first step is to replace the inequality symbol with an equal sign to graph the corresponding linear equation. This creates a boundary line, which can be solid (for ≤ or ≥) or dashed (for < or >) depending on whether the points on the line are included in the solution set. After graphing the line, you then determine which side of the line represents the solution set by testing a point (usually the origin if it's not on the line) to see if it satisfies the original inequality. Finally, shade the appropriate region to indicate the solutions to the inequality.