Solving and graphing an inequalty as an absolute value

The video tutorial explains how to solve absolute value equations and graph the solutions. It covers handling inequalities, solving compound inequalities, and graphing the results on a number line. The tutorial emphasizes the importance of changing signs when multiplying or dividing by negative numbers in inequalities.

What is the first step in solving an absolute value inequality?

• Multiply both sides by -1

• Add the same number to both sides

• Consider both positive and negative solutions

• Graph the inequality on a number line

When solving compound inequalities, what should you do after solving them separately?

• Combine the solutions into a single inequality

• Graph each solution separately

• Ignore the negative solution

• Multiply the solutions by a constant

What is the correct way to represent the solution of a compound inequality on a number line?

• Use open or closed circles based on the inequality and shade the region

• Use only closed circles

• Use only open circles

• Do not use any circles, just shade the region

In the context of graphing inequalities, what does a closed circle on a number line indicate?

• The inequality is non-strict

• The inequality is strict

• The value is not included in the solution

• The value is included in the solution

What does shading between two points on a number line represent in a compound inequality?

• The solution excludes the endpoints

• The solution is undefined

• The solution includes all values between the endpoints

• The solution includes only the endpoints