Solving Compound Inequalities

The video tutorial explains how to solve compound inequalities by simplifying expressions using the distributive property. It covers solving inequalities separately and in a combined form, emphasizing the importance of flipping inequality signs when dividing by negative numbers. The tutorial concludes with graphically representing the solution on a number line.

What is a common mistake students make when solving compound inequalities?

• Forgetting to distribute terms

• Ignoring the inequality signs

• Combining like terms incorrectly

• Not removing parentheses

Why is it important to remove parentheses in compound inequalities?

• To make the equation longer

• To change the inequality signs

• To add more variables

• To simplify the equation

What operation is used to remove parentheses in the given problem?

• Distributive property

• Division

• Addition

• Subtraction

After applying the distributive property, what is the next step?

• Add all terms

• Combine like terms

• Divide by a constant

• Multiply by a constant

How can you solve compound inequalities separately?

• By adding all terms together

• By writing them as two separate inequalities

• By ignoring one inequality

• By multiplying both sides by zero

What is the shortcut for solving compound inequalities together?

• Subtracting all terms

• Ignoring the middle term

• Adding all terms

• Isolating the variable

What must you remember when isolating the variable in compound inequalities?

• To add the same number to all sides

• To divide all sides by the same number

• To multiply all sides by zero

• To subtract the same number from all sides

What happens when you divide by a negative number in an inequality?

• The inequality sign stays the same

• The inequality sign flips

• The inequality becomes an equation

• The inequality sign disappears

How is the solution of a compound inequality represented on a number line?

• With open dots

• With arrows

• With shaded regions

• With closed dots

What does a closed dot on a number line indicate?

• The number is a variable

• The number is not included

• The number is included

• The number is an estimate