Easy way to solve and graph an inequality with a variable on both sides

The video tutorial explains how to solve a multi-step inequality and graph the solution. It begins with an introduction to solving inequalities, followed by detailed steps to solve an inequality with variables on both sides. The tutorial then demonstrates how to graph the solution on a number line and test points to verify the solution. The video concludes with a recap of the process.

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

• Add a constant to both sides

• Multiply both sides by a number

• Get the variables to one side

• Divide both sides by a variable

After getting the variables on one side, what is the next step in solving the inequality?

• Divide both sides by a constant

• Subtract a constant from both sides

• Add a constant to both sides

• Multiply both sides by a variable

What operation is used to isolate the variable in the inequality 3X > 9?

• Multiply both sides by 3

• Add 3 to both sides

• Divide both sides by 3

• Subtract 3 from both sides

When graphing the solution of an inequality, what does an open circle on the number line represent?

• The number is included in the solution

• The inequality is greater than or equal to

• The number is not included in the solution

• The inequality is less than or equal to

How do you determine which direction to shade on a number line when graphing an inequality?

• Shade where the inequality is false

• Shade towards the larger numbers

• Shade where the inequality is true

• Shade towards the smaller numbers