Absolute Value Inequalities

The video tutorial guides students through solving an absolute value inequality. It begins with isolating the absolute value expression, then considers both cases of the inequality. The solution is represented in interval notation and graphically. The tutorial emphasizes understanding the process and visualizing the solution.

What is the first step in solving an inequality involving absolute values?

• Add a constant to both sides

• Isolate the absolute value expression

• Multiply both sides by a constant

• Square both sides

When solving absolute value inequalities, what does the 'parallel universes' concept refer to?

• Solving the inequality in two different ways

• Considering both positive and negative scenarios

• Using a graph to solve the inequality

• Applying the same operation to both sides

What operation is performed after isolating the absolute value to solve the inequality?

• Subtract a constant from both sides

• Multiply both sides by a constant

• Add a constant to both sides

• Divide both sides by a constant

How is the solution to an absolute value inequality represented on a number line?

• By shading the entire line

• With a single point

• Using arrows to indicate direction

• With filled or open circles at key points

In interval notation, what does a filled circle on the number line indicate?

• The value is not included

• The value is included

• The interval is infinite

• The interval is undefined