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.

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

• To simplify the graph

• To avoid negative numbers

• To make the equation easier to solve

• To ensure the inequality remains true

What mistake is made if the inequality sign is not flipped when dividing by a negative number?

• The solution set becomes too large

• The solution set becomes incorrect

• The graph becomes a straight line

• The inequality becomes an equation

In the example given, what is the incorrect solution if the sign is not flipped?

• X is less than or equal to -4

• X is greater than or equal to -4

• X is less than 12

• X is equal to 2

What does the correct graph look like after flipping the sign?

• X is less than or equal to -4

• X is less than 0

• X is greater than or equal to -4

• X is equal to 0

What is the main takeaway from the tutorial regarding inequalities?

• Always flip the sign when multiplying or dividing by a negative number

• Never use negative numbers in inequalities

• Inequalities are the same as equations

• Graphs are not necessary for solving inequalities