Why do we have to flip the sign when we divide or multiply by negative one - Cool Math

The video tutorial explains how to solve inequalities, emphasizing the importance of solving for positive variables. It highlights the rule of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial reviews the addition property of equality and provides examples to illustrate these concepts. The key takeaway is to always flip the sign when dealing with negative numbers to maintain the truth of the inequality.

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

• Keep the sign the same

• Flip the sign

• Add a positive number

• Subtract a negative number

What property of equality allows you to add the same number to both sides of an equation without changing its truth?

• Subtraction property

• Division property

• Addition property

• Multiplication property

If you divide both sides of an equation by -1, what happens to the equation?

• It becomes a different equation

• It remains true

• It becomes undefined

• It becomes false

Why is it necessary to flip the inequality sign when dividing by a negative number?

• To simplify the equation

• To change the variable

• To maintain the truth of the inequality

• To make the inequality false

In the example given, which number is greater than -4?

• -5

• -3

• -6

• -7