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When graphing a linear inequality the first step is to replace the inequality symbol with what sign?
With the equal sign (=).
What is the feasible region in linear programming?
Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0
When graphing a linear inequality when can you NOT use (0 0) as a test point to determine which side of a boundary line to shade?
When the line goes through the origin like y>3x. Notice that there is no constant added to the end.
How do you find a linear function?
By finding something who's behavior is represented by a linear function and graphing it.
When graphing a linear inequality the first step is to replace the inequality symbol?
Well, you can replace the inequality with the equal sign, and draw the line (or curve, depending on the case) for the corresponding equation. The actual inequality will be either to one side or to one side of this line or curve. It may or may not include the actual line or curve.
How is graphing a linear inequality different than graphing a linear 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
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
When to use a solid line as a boundary when graphing a linear inequality?
If it is <= or >=
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 a linear inequality the same as graphing a linear equality?
Because the question is tautological. You are asking how something is the same as that very samne thing!
When graphing a linear inequality the first step is to replace the inequality symbol with what sign?
With the equal sign (=).
How is graphing a linear inequality in two variables different from graphing a linear equation in two variables?
Graphing a linear equation in two variables results in a straight line, representing all the solutions that satisfy the equation, while graphing a linear inequality produces a region on one side of the line that includes all the solutions satisfying the inequality. The line itself is solid if the inequality is ≤ or ≥, indicating that points on the line are included, or dashed if the inequality is < or >, indicating that points on the line are not included. Additionally, the area shaded represents all the combinations of values that satisfy the inequality, contrasting with the single line for an equation.
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.
Ask us graphing a linear inequality the first step is to replace the inequality symbol with a(n) sign.?
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.
How is graphing a linear inequality the same as graphing a liner equation?
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
How do you describe the steps for graphing a two variable linear inequality?
To graph a two-variable linear inequality, first convert the inequality into an equation by replacing the inequality sign with an equal sign, which gives you the boundary line. Next, graph this line using a solid line for ≤ or ≥ and a dashed line for < or >. Then, determine which side of the line to shade by testing a point not on the line (usually the origin) to see if it satisfies the inequality. Finally, shade the appropriate region to represent all the solutions to the inequality.
What is the feasible region in linear programming?
Linear programming is just graphing a bunch of linear inequalities. Remember that when you graph inequalities, you need to shade the "good" region - pick a point that is not on the line, put it in the inequality, and the it the point makes the inequality true (like 0
