How to Solve Multi-Step Inequalities

The video tutorial introduces the concept of solving multi-step inequalities, explaining that these require multiple steps to isolate the variable. The instructor outlines the process, emphasizing the importance of combining like terms and isolating the variable. A key difference from solving equations is highlighted: when multiplying or dividing by a negative number, the inequality sign must be flipped. An example problem is solved step-by-step, demonstrating the process and the importance of checking the solution by substituting it back into the original inequality.

What is the primary goal when solving a multi-step inequality?

• To eliminate all numbers

• To isolate the variable X

• To multiply all terms by zero

• To find the value of Y

Which of the following is a unique step in solving inequalities compared to equations?

• Adding numbers to both sides

• Multiplying or dividing by a negative number

• Combining like terms

• Subtracting numbers from both sides

In the example provided, what is the result of adding 6X to both sides?

• 12X

• 8X

• 0

• 2X

What is the final value of X in the example problem?

• 3.0

• 2.5

• 2.0

• 1.5

How can you verify the solution to a multi-step inequality?

• By ensuring all terms are positive

• By substituting the solution back into the original inequality

• By multiplying the solution by zero

• By checking if both sides are equal