Understanding One-Step Inequalities

This video tutorial by Mr. J covers solving one-step multiplication and division inequalities. It explains the importance of isolating the variable using inverse operations and highlights the need to flip the inequality symbol when multiplying or dividing by a negative number. The video provides examples for both multiplication and division inequalities, demonstrating the process step-by-step and emphasizing the importance of checking solutions. The tutorial concludes with a recap of key concepts and the rationale behind flipping the inequality symbol.

What is the first step in solving a one-step inequality?

• Subtract a constant from both sides

• Multiply both sides by zero

• Isolate the variable using inverse operations

• Add a constant to both sides

When solving the inequality 5x ≤ 10, what operation should be used to isolate x?

• Addition

• Division

• Subtraction

• Multiplication

Why do we flip the inequality symbol when dividing both sides by a negative number?

• To simplify the equation

• To change the variable

• To keep the inequality true

• To make the inequality false

In the inequality 36 > -4a, what happens to the inequality symbol when both sides are divided by -4?

• It remains the same

• It disappears

• It flips direction

• It becomes an equal sign

What is the inverse operation of division when solving inequalities?

• Multiplication

• Subtraction

• Addition

• Division

When solving D/10 > 6, what operation should be used to isolate D?

• Addition

• Division

• Subtraction

• Multiplication

What is the result of multiplying both sides of an inequality by a negative number?

• The inequality becomes an equation

• The inequality symbol flips direction

• The inequality symbol is removed

• The inequality symbol remains unchanged

In the inequality x/-7 ≤ -3, what happens to the inequality symbol when both sides are multiplied by -7?

• It flips direction

• It disappears

• It remains the same

• It becomes an equal sign

Why is it important to check your solution after solving an inequality?

• To change the variable

• To verify the solution is correct

• To ensure the inequality is false

• To simplify the equation

What happens if you forget to flip the inequality symbol when required?

• The solution will still be correct

• The inequality will become an equation

• The solution will be incorrect

• The inequality symbol will disappear