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The x axis and everything below it on the Cartesian plane.

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How are linear inequalitys differant from linear equations?

Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.


What is linear inequalities?

it deals with the symbols "greater than" and "less than". it also deals with the things that are not equal.


What does a dashed boundary line indicate when graphing linear inequalities?

It means that the inequality is less than the value of the dashed line and is not equal to it.


How are equations and inequalities different?

Equations have and can only have a = Inequalities have <, >, greater than or equal to, less than or equal to, or =


Do reflexive property apply to inequalities?

the inequalities like greater than or equal to,less than or equal to are reflexive.


Less than greater than and not equal to are examples of?

Inequalities.


HOW DO WE graph linear inequalities that involves two variables?

To graph linear inequalities involving two variables, first, rewrite the inequality in slope-intercept form (y = mx + b) if necessary. Next, graph the corresponding linear equation as if it were an equality (using a solid line for ≤ or ≥ and a dashed line for < or >). Finally, shade the appropriate region of the graph: above the line for greater than or greater than or equal to, and below the line for less than or less than or equal to. This shaded area represents all the possible solutions to the inequality.


How do you determine the solution region for a system of inequalities?

To determine the solution region for a system of inequalities, first graph each inequality on the same coordinate plane. For linear inequalities, use a dashed line for "less than" or "greater than" and a solid line for "less than or equal to" or "greater than or equal to." Shade the region that satisfies each inequality; the solution region is where all shaded areas overlap. This overlapping area represents all the points that satisfy all inequalities in the system.


What makes linear equations different than linear inequalities?

An equation is a statement that two quantities are equal, or the same, identical, in value. It is expressed by putting an equal sign (=) between the two quantities. An inequality is a statement that two quantities are not equal, or more specifically, that one is less than the other, or less than or equal to the other. It is expressed with the unequal sign (an equal sign with a slash through it), a less than sign (), or a less than or equal sign or greater than or equal sign. A less than or equal sign looks like a less than sign with an underscore; similarly for the greater than or equal sign.Answer 1A linear equation may be represented by all the points on a straight line.A linear inequality would be represented by all points in the plane on one side or the other of the line which is determined by the corresponding equation. The line itself may or may not be part of the solution.


What is the name for equations with greater than or less than signs?

Equations with greater than or less than signs are called inequalities. They express a relationship where one quantity is larger or smaller than another, rather than equal. Common symbols used in inequalities include ">" for greater than, "<" for less than, "≥" for greater than or equal to, and "≤" for less than or equal to.


Are graphed linear inequalities supposed to be shaded?

Yes, graphed linear inequalities should be shaded to represent the solution set. The shading indicates all the points that satisfy the inequality. For example, if the inequality is (y > mx + b), the area above the line is shaded. If the inequality includes "less than or equal to" or "greater than or equal to," the line is typically solid; otherwise, it is dashed.


What does inequality mean?

Inequalities are less than, equal to, less than or equal to, or more than or equal to. Inequalities can NOT contain an equal sign.