Solving Multi-step Inequalities: Part 2

The video tutorial covers solving multi-step inequalities, focusing on moving variables to one side to simplify equations. It explains how to handle true and false statements, distribute terms, and identify scenarios with no solutions. The tutorial emphasizes understanding conditions for solutions and provides examples to illustrate these concepts.

What is the first step in solving multi-step inequalities with variables on both sides?

• Add the variables together

• Move the variables to one side

• Divide both sides by the variable

• Multiply both sides by a constant

Why does the teacher prefer to move the variable to make it positive?

• It makes the variable negative

• It simplifies the equation

• It makes the variable disappear

• It ensures the variable is on the left side

What should you do after distributing terms in an inequality?

• Add the constants together

• Subtract the constants from both sides

• Move the variables to one side

• Divide by the coefficient of the variable

What is the solution set when the variables cancel out and the remaining statement is true?

• Only positive numbers

• All real numbers

• No solution

• Only negative numbers

What happens if the variables cancel out and the remaining statement is false?

• The solution is only negative numbers

• The solution is only positive numbers

• The solution is no solution

• The solution is all real numbers

In the example where 6m - 5 is greater than m + 7, what is the next step after combining like terms?

• Multiply by 7

• Divide by m

• Subtract 6m from both sides

• Add 5 to both sides

What does the inequality sign determine in the solution set?

• The type of numbers in the solution set

• The direction of the inequality

• The number of solutions

• Whether the solution is positive or negative

If the inequality sign is 'greater than or equal to', what does it imply about the solution set?

• The solution set is only positive numbers

• The solution set excludes the boundary value

• The solution set includes the boundary value

• The solution set is only negative numbers

What should you be careful about when interpreting the final statement of an inequality?

• The constant term

• The inequality sign

• The variable itself

• The coefficient of the variable

What is the final step in solving a multi-step inequality?

• Multiply both sides by a constant

• Add the variables together

• Subtract the constants from both sides

• Check the solution