Solving and graphing an inequality with variables on both sides

The video tutorial explains how to solve inequalities with variables on both sides. It begins by introducing the concept of inequalities and the importance of isolating the variable. The tutorial then demonstrates the steps to solve the inequality, addresses common mistakes, and provides tips for graphing the solution on a number line. Finally, it emphasizes the importance of verifying the solution to ensure accuracy.

What is the first step in solving an inequality with variables on both sides?

• Isolate the variable on one side

• Switch the inequality sign

• Multiply both sides by zero

• Add the same number to both sides

Why is it important to rewrite the inequality with the variable in front?

• To change the inequality sign

• To eliminate the variable

• To avoid graphing the line in the wrong direction

• To make the inequality look nicer

What should you do after plotting the initial point on the number line?

• Erase the initial point

• Test additional points to determine shading direction

• Draw a shaded line to the left

• Draw a shaded line to the right

How do you determine if the endpoint should be filled in on the graph?

• If the endpoint is negative

• If the endpoint satisfies the inequality

• If the endpoint is a whole number

• If the inequality is strict

What does a shaded line on the number line represent?

• The maximum value of the variable

• The solution set of the inequality

• The minimum value of the variable

• The midpoint of the inequality