How to solve and graph absolute value inequalities on a number line?

A common type of absolute value inequality is the distance between two numbers, which is represented by the distance between the numbers on a number line. If the distance between two numbers is positive, then add the two numbers together to get the absolute value of the total. If the distance between two numbers is negative, then subtract the smaller number from the larger number to get the absolute value of the total.

How to graph absolute value inequalities on a number line?

The graphs of absolute value inequalities are graphs of inequalities on the number line. These graphs show the different solutions of an absolute value inequality. The solutions can be shown as shaded or unshaded portions on the number line. When graphing absolute value inequalities, consider whether the graphs are solving for a < b or b < a.

How to solve and graph absolute value inequalities on a number line including negative?

The absolute value of a number is the distance from 0 on the number line. The absolute value of any negative number is equal to its distance from 0. So, if you have an absolute value inequality, just write out the number line and draw the numbers on it. If the number line has negative numbers on it, draw a line under the negative numbers to represent them being equal to their distance from 0.

How to solve absolute value inequality on a number line?

The absolute value inequality is defined as an algebraic inequality where the signs of the numbers are ignored. If you are solving absolute value inequalities on a number line, you want to solve for the numbers underneath the line rather than the numbers above. Here’s a quick example:

How to solve absolute value inequalities on a number line?

The absolute value inequality states that a number is greater than a given value or less than a given value. This idea can be represented using a number line. A graph can be used to solve absolute value inequalities. To solve absolute value inequalities, you need to determine the values on the number line that represent the numbers in the inequality.