Solving Inequalities and Distributions

The video tutorial addresses solving inequalities, emphasizing the importance of careful execution of repetitive steps. It begins with applying the distributive property, combining like terms, and isolating the variable. A key focus is on flipping the inequality sign when dividing by a negative number. The tutorial concludes with simplifying the solution to its final form.

What is the first step to solve the given inequality problem?

• Divide by a negative number

• Move variables to one side

• Combine like terms

• Distribute the constants

What is the result of distributing -5 to 4x?

• 4x

• -20x

• 20x

• -4x

After distributing, what is the next step?

• Move variables to one side

• Simplify the fraction

• Combine like terms

• Divide by a negative number

What do you get when you combine 8x and -20x?

• -28x

• 12x

• -12x

• 28x

How do you move all x terms to one side of the inequality?

• Add the x terms

• Divide the x terms

• Multiply the x terms

• Subtract the x terms

What is the result of -12x - 8x?

• -4x

• 20x

• 4x

• -20x

What happens to the inequality sign when you divide by a negative number?

• It flips

• It becomes an equal sign

• It stays the same

• It disappears

What is the result of dividing -2 by -20?

• 2/20

• -2/20

• 1/10

• -1/10

What is the simplified form of 2/20?

• 2/10

• 1/20

• 1/10

• 1/5

Why do you flip the inequality symbol when dividing by a negative number?

• Because it is a rule

• Because the number becomes negative

• Because the number becomes positive

• Because it simplifies the equation