Solving a simple one step inequality using multiplication

The video tutorial explains how to solve simple one-step inequalities. It begins with an introduction to inequalities and the importance of understanding the variable's role. The tutorial then covers the process of solving inequalities by using multiplication and division, specifically focusing on the use of reciprocals to handle fractions. The instructor demonstrates how to graph the solution on a number line, ensuring the scale is correct. Finally, the video concludes with verifying the solution and emphasizing the importance of checking work.

What is the first step in solving the inequality 1/4 * X ≤ -17?

• Add 1/4 to both sides

• Multiply by 4

• Divide by 1/4

• Multiply by the reciprocal of 1/4

Why do we multiply by the reciprocal instead of dividing by a fraction?

• Multiplying by the reciprocal is the same as dividing

• It is a rule in mathematics

• It is easier to multiply than divide

• It avoids complex calculations

What is the result of multiplying 4 * 1/4?

• 1/4

• 4

• 0

• 1

How do you verify the solution on a number line?

• By checking if the points are evenly spaced

• By testing points to the left and right of the solution

• By using a ruler

• By drawing a straight line

What does shading the circle on the number line indicate?

• The solution is incorrect

• The solution is an approximation

• The solution includes the endpoint

• The solution excludes the endpoint