Understanding Inequalities and Number Lines

This video tutorial from Mumu Math and Science explains how to solve inequalities and plot them on a number line. It covers two methods: subtracting the smaller variable from the larger one and moving variables to the left. The video demonstrates how to avoid negative numbers and the importance of flipping the inequality sign when dividing by a negative coefficient. It also shows how to plot the solution on a number line, distinguishing between open and closed circles. The tutorial concludes with a verification of the solution and a reminder to practice kindness.

What is the first step in solving an inequality?

• Plotting it on a number line

• Subtracting the smaller variable

• Adding constants to both sides

• Dividing by the coefficient

Why might you subtract the smaller variable from the larger one?

• To make the equation more complex

• To avoid negative numbers

• To change the inequality direction

• To simplify the constants

What happens to the inequality sign when you divide by a negative number?

• It stays the same

• It disappears

• It flips direction

• It becomes an equal sign

When plotting on a number line, what does a closed circle indicate?

• The inequality is reversed

• The number is not included

• The inequality is strict

• The number is included

How do you verify the solution of an inequality?

• By substituting a value into the original inequality

• By checking with a random number

• By plotting another number line

• By solving a different inequality