Exploring One-Step Inequalities with Negative Numbers

In this video, Kaylee introduces solving one-step inequalities involving negative numbers. She explains the crucial step of flipping the inequality sign when multiplying or dividing by a negative number. Through examples, she demonstrates how to solve these inequalities and graph the solutions on a number line. The video emphasizes the importance of flipping the sign to maintain the truth of the inequality and provides practice problems for viewers to try on their own.

What is the first step in solving one-step inequalities with negative numbers?

• Divide both sides by the coefficient of the variable

• Multiply both sides by negative one

• Isolate the variable

• Flip the inequality sign

What happens to the inequality sign when you multiply or divide both sides by a negative number?

• It remains unchanged

• It disappears

• It flips to the opposite direction

• It doubles in value

After dividing by a negative number, what is the solution to the inequality if the original inequality was '15 divided by negative five'?

• x is less than or equal to 3

• x is less than or equal to -3

• x is greater than or equal to -3

• x is greater than or equal to 3

How do you represent a solution that includes the number -3 on a number line?

• With an open circle at -3

• With a double line through -3

• With a closed circle at -3

• With an arrow pointing away from -3

What is the correct graph direction for an inequality stating 'x is less than or equal to -3'?

• None of the above

• To the left of -3

• To the right of -3

• Starting at 0 to -3

In the second example, what operation is used to isolate the variable 'y'?

• Multiplication

• Division

• Addition

• Subtraction

What is the solution set for the inequality 'y over negative 12 is less than 2' after applying the rule?

• y is greater than -24

• y is less than 24

• y is less than -24

• y is greater than 24

How is the solution 'y is greater than -24' represented on a number line?

• With a closed circle at -24 and arrow to the right

• With an open circle at -24 and arrow to the right

• With an open circle at -24 and arrow to the left

• With a closed circle at -24 and arrow to the left

When do we not flip the inequality sign?

• When adding or subtracting negative numbers

• When multiplying by a positive number

• All of the above

• When dividing by a positive number

What is emphasized about the rule of flipping the inequality sign?

• It applies only to addition and subtraction

• It applies to all operations

• It applies only to multiplication and division by a negative number

• It does not apply to division