Solving and graphing a one variable inequality with variable on both sides

The video tutorial explains the process of solving and graphing inequalities, highlighting the differences between inequalities and equations. It covers steps to simplify expressions, obtain variables on the same side, and ensure the variable remains positive. The tutorial also demonstrates how to represent solutions on a number line, determine open or closed circles, and shade the correct direction based on test points and inequality symbols.

What is the main difference between solving inequalities and equations as mentioned in the text?

Explain the process of obtaining the variable on the same side when solving inequalities.

What should you do when you multiply or divide by a negative number in an inequality?

Describe how to represent the solution of an inequality on a number line.

How do you determine whether to include or exclude the solution point in an inequality graph?