Solve absolute values inequalities practice

This video tutorial covers solving absolute value inequalities, including graphing solutions and writing them in both inequality and interval notation. The instructor walks through multiple examples, explaining both OR and AND compound inequalities, and demonstrates how to handle cases where the absolute value is not isolated. The video also addresses scenarios where inequalities have no solution due to negative values. By the end, viewers should have a solid understanding of solving absolute value inequalities.

What is the main goal when practicing absolute value inequalities?

• To memorize all the rules

• To avoid using graphs

• To understand the concept of compound inequalities

• To solve them without any practice

When solving an absolute value inequality with a 'greater than or equal to' sign, what type of situation does it create?

• A 'not' situation

• An 'and' situation

• A 'but' situation

• An 'or' situation

How do you represent a solution that includes negative infinity in interval notation?

• With a bracket

• With a parenthesis

• With a curly brace

• With a square bracket

What must be true for both inequalities in an 'and' compound inequality?

• Neither inequality matters

• Only one inequality must be true

• Both inequalities must be false

• Both inequalities must be true

What is the first step when the absolute value is not isolated in an inequality?

• Ignore the absolute value

• Isolate the absolute value

• Multiply both sides by zero

• Add a constant to both sides

What happens if an absolute value inequality is set to a negative number?

• It results in a zero solution

• It results in a valid solution

• It results in no solution

• It results in an infinite solution

What should you do when dividing by a negative number in an inequality?

• Keep the inequality sign the same

• Flip the inequality sign

• Ignore the negative sign

• Add a positive number

In interval notation, how do you represent values that are not included?

• With curly braces

• With square brackets

• With parentheses

• With brackets

What is the result when an absolute value inequality is less than a negative number?

• An infinite solution

• No solution

• A valid solution

• A zero solution

What is the correct interval notation for a solution set that includes all values greater than 5?

• [5, ∞)

• (5, ∞]

• [5, ∞]

• (5, ∞)