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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 a linear equality different from graphing linear equation?
They are the same.
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 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 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 a linear equality different from graphing linear equation?
They are the same.
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 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.
When graphing a linear inequality the first step is to replace the inequality symbol with a sign?
john
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.
When to use a solid line as a boundary when graphing a linear inequality?
If it is <= or >=
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 do you describe the steps for graphing a two-variable linear inequality?
Hi
How are linear inequalities different from linear equations?
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
