Multiplying and Solving Inequalities

The video tutorial teaches students how to solve inequalities using distribution. It uses engaging examples with characters like Mr. Five and Mr. -4 to explain the concept of distribution in solving inequalities. The tutorial covers the steps to solve inequalities, including graphing the solution on a number line. It emphasizes understanding the relationship between multiplication and distribution, and how to handle negative variables in inequalities.

What is the primary focus of today's lesson?

• Graphing linear equations

• Solving inequalities using distribution

• Understanding fractions

• Solving equations using addition

What does the term 'distribute' mean in the context of solving inequalities?

• To add numbers

• To subtract numbers

• To multiply numbers

• To divide numbers

If Mr. Five is outside the parentheses and Miss -4 is inside, what is the result of their multiplication?

• Positive 20

• Positive 5

• Negative 20

• Zero

What is the result of multiplying a positive number by a negative number?

• Positive

• Negative

• Zero

• Undefined

What is the first step in solving the inequality after distribution?

• Add 20 to both sides

• Subtract 20 from both sides

• Multiply both sides by 5

• Divide both sides by 5

What does the inequality '5B is greater than or equal to 20' imply about B?

• B is less than or equal to 4

• B is greater than or equal to 4

• B is less than 4

• B is equal to 4

How do you represent the solution of an inequality on a number line?

• With an open circle

• With a closed circle

• With a triangle

• With a square

In the new example, what is the result of multiplying -4 by -4?

• Negative 8

• Zero

• Positive 16

• Negative 16

What happens when you multiply a negative number by a positive number?

• The result is positive

• The result is undefined

• The result is negative

• The result is zero

What is the opposite of a positive number?

• A larger positive number

• Zero

• A negative number

• A smaller positive number