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Inequalities on a number line are represented using open or closed circles and shaded regions. An open circle indicates that the endpoint is not included (for strict inequalities like < or >), while a closed circle indicates inclusion (for inclusive inequalities like ≤ or ≥). The line is then shaded to show all numbers that satisfy the inequality, extending to the left for less than (< or ≤) and to the right for greater than (> or ≥).

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1mo ago

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How will you illustrate the concept of on the number line?

Inequalities


Why do you graph inequalities on a number line?

To find the solutions.


What does the word compound inequalities mean?

Compound inequalities is when there is two inequality signs. You will regularly graph compound inequalities on a number line.


How would inequalities be shown on a line?

actually by using the line of equation !! the inequalities might be showed!! im nt suree its a guess!! it depends on ur grade but im pretty sure that it does make some sense


What is The picture of an inequality?

A picture of an inequality typically represents a mathematical relationship where one quantity is not equal to another, often illustrated on a number line or a graph. For example, on a number line, an inequality such as (x &lt; 3) would be shown with an open circle at 3 and a shaded line extending to the left, indicating all values less than 3. In a graph, inequalities can create shaded regions, such as in systems of inequalities, where solutions to the inequalities are visually represented. Overall, these visual representations help to clarify the concept of inequality in a more intuitive way.


Which is shown on the y-axis on a graph?

A vertical number line


First Degree Equations and Inequalities in one Variable?

First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x&gt;3 then it is all points on the number line greater than but not equal to 3.


Give two approximate numbers for the point shown on the number line?

We're not magic; we can't see the number line.


Every system of inequalities has a solution?

Which system of inequalities has a solution set that is a line?


How do you know which region of a system of inequalities is the solution?

Each inequality divides the Cartesian plane into two parts. On one side of the line the inequality is satisfied while on the other it is not. A system of inequalities divides the plane into a number of such parts and the intersection of these parts in which the inequalities are true defines the the required region.


How do you graph an absolute value inequality on a number line?

To graph an absolute value inequality on a number line, first, rewrite the inequality in its standard form. For example, for (|x| &lt; a), this translates to (-a &lt; x &lt; a). Plot the critical points (in this case, -a and a) on the number line, using open circles for inequalities that are strict ((&lt;) or (&gt;)) and closed circles for inclusive inequalities ((\leq) or (\geq)). Finally, shade the appropriate region between or outside the critical points, depending on the inequality.


What points are solutions to the system of inequalities shown below y6x 7 y6x 9?

To determine the points that are solutions to the system of inequalities (y \leq 6x + 7) and (y \geq 6x + 9), we need to analyze the area between the two lines represented by these inequalities. The first inequality represents a region below the line (y = 6x + 7), while the second represents the region above the line (y = 6x + 9). Since the two lines are parallel, there are no points that satisfy both inequalities simultaneously; thus, there are no solutions to the system.