Easy Absolute Inequalities | Solve and Graph

The video tutorial explains how to solve and graph absolute value inequalities using interval notation. It covers the basic concepts, including isolating the absolute value, understanding the two cases (positive and negative), and using a number line for visualization. The tutorial also distinguishes between AND and OR inequalities, providing examples for each. An advanced example is presented, demonstrating the use of two-step equations and interval notation to find solutions.

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

• Find the intersection of the solutions

• Convert the inequality to interval notation

• Isolate the absolute value expression

• Graph the inequality on a number line

When solving an absolute value inequality with a 'less than or equal to' condition, what type of inequality is formed?

• A 'but' inequality

• An 'and' inequality

• A 'not' inequality

• An 'or' inequality

How do you represent the solution of an 'and' inequality on a number line?

• With arrows pointing in opposite directions

• With open circles

• With a single point

• With a shaded region between two points

What does the absolute value represent in the context of inequalities?

• The exact value of a number

• The distance from zero

• The sum of all values

• The product of the values

In an absolute value inequality with a 'greater than' condition, what type of inequality is typically formed?

• A 'but' inequality

• An 'or' inequality

• An 'and' inequality

• A 'not' inequality

What happens to the solution set when you add a constant to both sides of an inequality?

• It remains unchanged

• It shifts to the right

• It shifts to the left

• It becomes undefined

What is emphasized as more important than memorization when solving complex inequalities?

• Using a calculator

• Copying from others

• Practicing regularly

• Memorizing formulas