The first is 2-dimensional, the second is 1-dimensional.
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.
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
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.
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
They are the same.
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.
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
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.
john
If it is <= or >=
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
Because the question is tautological. You are asking how something is the same as that very samne thing!
With the equal sign (=).
They are the same.
Hi
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.
Graphing involves plotting points or shapes on a coordinate plane, representing various mathematical relationships. Graphing a line means drawing an infinite straight path extending in both directions, defined by a linear equation. In contrast, graphing a line segment involves drawing a finite portion of a line, characterized by two endpoints, and represents only the points between those endpoints. Thus, while both involve linear relationships, the scope and representation differ significantly.