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Explain when to use a solid line as a boundary when graphing a linear in equality?
you use a solid line when the inequality is less than or equal to or greater that or equal to the dotted line is for less than or greater than
How do you determine whether to use a solid or dashed line when graphing linear equation?
A dashed line is used when the equality is equal to and less than/more than. (≤, ≥) A solid line is used when the inequality is just less than/more than. (<, >)
Why is a linear equation shaded?
Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "
When graphing an inequality with the symbol less than or equal to what is drawn?
if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.
What is the difference between a dashed line and a solid line when graphing inequalities?
its different because they both repersent something.
Explain when to use a solid line as a boundary when graphing a linear inequality?
If the points that are ON the line satisfy the inequality then the line should be solid. Otherwise it should be dotted. Another way of putting that is, if the inequality is given in terms of ≤ or ≥, then use a solid line. If they are < or > use a dotted line.
Explain when to use a solid line as a boundary when graphing a linear in equality?
you use a solid line when the inequality is less than or equal to or greater that or equal to the dotted line is for less than or greater than
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 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 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 region of a coordinate plane that is described by a linear inequality?
The region of a coordinate plane described by a linear inequality consists of all the points that satisfy the inequality, which can be either above or below the boundary line defined by the corresponding linear equation. The boundary line itself is typically dashed if the inequality is strict (e.g., > or <) and solid if it is inclusive (e.g., ≥ or ≤). This region can be unbounded and may extend infinitely in one or more directions, depending on the specific inequality. The solution set includes all points (x, y) that make the inequality true.
How do you determine whether to use a solid or dashed line when graphing linear equation?
A dashed line is used when the equality is equal to and less than/more than. (≤, ≥) A solid line is used when the inequality is just less than/more than. (<, >)
Why is a linear equation shaded?
Actually, a linear inequality, such as y > 2x - 1, -3x + 2y < 9, or y > 2 is shaded, not a linear equation.The shaded region on the graph implies that any number in the shaded region is a solution to the inequality. For example when graphing y > 2, all values greater than 2 are solutions to the inequality; therefore, the area above the broken line at y>2 is shaded. Note that when graphing ">" or "=" or "
When graphing inequalities which inequality line is solid?
The line that includes whatever variables are included in the equation.
When graphing an inequality what does a dotted line mean?
A dotted line in a graph of an inequality indicates that the boundary line is not included in the solution set. This typically occurs with inequalities using "<" or ">", meaning that points on the dotted line do not satisfy the inequality. In contrast, a solid line would indicate that points on the line are included in the solution set, as seen with "<=" or ">=".
What is the points where used to graph linear inequalities?
To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., < or >), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.
What inequality represents the graph?
To determine the inequality that represents a graph, you need to analyze its features, such as the shaded region and the boundary line. If the boundary line is solid, the inequality includes "≤" or "≥," while a dashed line indicates "<" or ">". The shaded region shows where the values satisfy the inequality. By identifying the slope and y-intercept of the line, you can formulate the correct inequality.
