Solving Multi-Step Inequalities

The video tutorial covers solving multi-step inequalities, including those involving distribution and variables on both sides. It provides examples of special solutions, such as no solution and infinite solutions, and emphasizes the importance of understanding the rules for solving inequalities, like flipping the inequality sign when dividing by a negative number.

What is the primary goal when solving multi-step inequalities?

• To find the exact value of the variable

• To isolate the variable on one side

• To eliminate all numbers from the equation

• To ensure the inequality sign remains unchanged

When solving inequalities, what must you remember to do when dividing by a negative number?

• Multiply both sides by a positive number

• Flip the inequality sign

• Subtract the same number from both sides

• Add the same number to both sides

In Example 1, what number do we eliminate first when solving the inequality?

• 11

• 13

• 79

• 66

Why is it important to check calculations involving negative numbers?

• Negative numbers do not affect the inequality

• Negative numbers are not allowed in inequalities

• Negative numbers can lead to incorrect assumptions

• Negative numbers are always incorrect

What is the first step in solving a multi-step inequality involving distribution?

• Add all numbers on one side

• Eliminate the smaller variable

• Distribute the number next to the parenthesis

• Combine like terms

In Example 3, what do you do after distributing the number next to the parenthesis?

• Combine like terms

• Flip the inequality sign

• Solve for the variable

• Add the same number to both sides

When solving inequalities with variables on both sides, what should you do with the smaller variable?

• Add it to both sides

• Subtract it from both sides

• Ignore it

• Multiply it by a negative number

What does a false statement in an inequality indicate?

• The inequality has a unique solution

• The inequality has no solution

• The inequality has infinite solutions

• The inequality is incorrect

What does a true statement in an inequality indicate?

• The inequality has a unique solution

• The inequality has no solution

• The inequality has infinite solutions

• The inequality is incorrect