Solving absolute value inequalities when there are infinite many solutions

The video tutorial explains how to solve absolute value inequalities. It begins by isolating the absolute value and emphasizes the importance of flipping the inequality sign when dividing by a negative number. The instructor then demonstrates how to create two cases for 'or' inequalities and graph the solutions on a number line. The tutorial concludes by explaining that 'or' inequalities require only one of the inequalities to be true, resulting in solutions that cover the entire number line.

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

• Add a constant to both sides

• Distribute the terms inside the absolute value

• Isolate the absolute value

• Multiply both sides by a positive number

When dividing or multiplying both sides of an inequality by a negative number, what must you remember to do?

• Keep the inequality sign the same

• Subtract the same number from both sides

• Add the same number to both sides

• Flip the inequality sign

What type of inequality is formed when the absolute value is greater than a number?

• A 'nor' inequality

• An 'and' inequality

• An 'or' inequality

• A 'not' inequality

What must you do when creating the second case for an absolute value inequality?

• Divide both sides by a positive number

• Multiply both sides by a positive number

• Negate the quantity and flip the sign

• Add the same value to both sides

What does it mean when the solution to an 'or' inequality covers the entire number line?

• Only positive numbers are solutions

• All real numbers are solutions

• There are no solutions

• There is only one solution