Why do you have to flip the sign of an inequality when multiplying by a negative number

The video tutorial explains the concept of flipping the inequality sign when multiplying or dividing by a negative number. It uses an example to demonstrate why this is necessary, showing the process of solving and graphing an inequality. The tutorial concludes by emphasizing the importance of this rule to ensure correct solutions.

Provide an example of an inequality and demonstrate how to solve it, including the steps taken.

What is the significance of flipping the sign in an inequality when dividing by a negative number?