Understanding Absolute Value Inequalities

The video tutorial explains how to solve absolute value inequalities by first isolating the absolute value expression. It emphasizes the importance of understanding the properties of absolute value, which represents the distance from zero. The tutorial guides students through creating two cases for solving inequalities and explains the difference between 'and' and 'or' inequalities. It also covers graphing compound inequalities and finding intersections on a number line.

Why is it important to isolate the absolute value before solving inequalities?

• To avoid negative numbers

• To make calculations easier

• To ensure correct solutions

• To simplify the equation

What is the result of not isolating the absolute value before solving?

• Incorrect solutions

• Simplified equations

• Faster calculations

• More complex equations

What is a common mistake when solving absolute value inequalities?

• Not using a calculator

• Not isolating the absolute value

• Using decimals instead of fractions

• Graphing incorrectly

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

• Graph the inequality

• Isolate the absolute value

• Add a constant to both sides

• Multiply both sides by a constant

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

• Graph the equation

• Multiply both sides by a constant

• Add a constant to both sides

• Isolate the absolute value

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

• Multiply both sides by a constant

• Graph the inequality

• Isolate the absolute value

• Add a constant to both sides

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

• Multiply both sides by a constant

• Isolate the absolute value

• Add a constant to both sides

• Graph the equation

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

• Divide both sides by a constant

• Undo addition or subtraction

• Add a constant to both sides

• Multiply both sides by a constant

What operation should be undone first when isolating the absolute value?

• Exponentiation

• Addition or subtraction

• Division

• Multiplication

What is the second step after undoing addition or subtraction in isolating the absolute value?

• Undo multiplication

• Add a constant

• Subtract a constant

• Multiply by a constant