Solve and graph a multi step inequality when you have a variable on both sides

The video tutorial demonstrates how to solve a linear inequality for X. It begins by explaining the steps involved, emphasizing the use of inverse operations and properties of equality. The process includes simplifying both sides, combining like terms, and solving the inequality. The tutorial concludes with graphing the solution on a number line, highlighting the importance of open circles for values not included in the solution set.

What is the first step in solving a linear inequality?

• Simplifying both sides

• Graphing the inequality

• Adding variables to both sides

• Multiplying both sides by a constant

When combining like terms, what should you do with the coefficients?

• Multiply them

• Divide them

• Add or subtract them

• Ignore them

Why do we subtract terms from both sides of an inequality?

• To change the inequality direction

• To simplify the graphing process

• To make the inequality more complex

• To eliminate variables from one side

What does an open circle on a number line represent?

• The value is included in the solution

• The value is not part of the solution

• The inequality is equal

• The inequality is undefined

How can you verify the direction of shading on a number line?

• By drawing a closed circle

• By testing values on both sides

• By using a calculator

• By checking the inequality sign