The graph of an inequality on a number line can help students visually understand the solution to an inequality. Plotting an inequality on a number line requires a number of rules to ensure the solution is properly "translated" onto the graph. Students should pay special attention to whether th...
$ The main result of this paper is the inequality $\\delta(G) \\le \\delta(\\mathcal L(G))$ for the line graph $\\mathcal L(G)$ of every graph $G$. We prove also the upper bound $\\delta(\\mathcal L(G)) \\le 5 \\delta(G)+ 3 l_{max}$, where $l_{max}$ is...
the graph of an inequality looks similar to the graph of a line but has two major differences. First, the region on one side of the line (which side depends on the inequality) is shaded. Second, the line itself is either dotted or solid depending on whether the inequality is...
To graph a one-variable inequality, the first step is to draw a circle on the maximum or minimum values or both if both are mentioned. If the inequality is either less than or greater than, keep the circle open, meaning do not fill in the circle. Plot circles for maximums and minimum...
Graph the "equals" line, then shade in the correct area.Follow these steps:Rearrange the equation so "y" is on the left and everything else on the right.Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)...
the graph of an inequality looks similar to the graph of a line but has two major differences. First, the region on one side of the line (which side depends on the inequality) is shaded. Second, the line itself is either dotted or solid depending on whether the inequality is inclusive....
How do you graph an inequality on a number line? First, plot point(s) to divide the line into separate regions, using filled circles for ≤ and ≥ and open for > and <. For example, with x < 5, put an open circle at x = 5. Then draw a ray or line segments covering the regi...
Walk through these inequalities worksheets to practice solving and graphing inequalities on a number line, completing inequality statements, and more.
Learn how to frame an inequality with two expressions that are not equal and how the solution can be represented on a number line.
The graph of an inequality is a graph of a region rather than a simple graph of a line. An inequality is actually the graph of all the points on the coordinate plane that are either greater or less than a particular line. For this reason, the graph of an inequality looks similar to ...