Solving a two step inequality with less than

The video tutorial explains how to solve an inequality problem by undoing operations and emphasizes the importance of understanding when to flip inequality signs. It addresses common student misconceptions, such as incorrect sign flipping and graphing errors, and highlights the use of test points to verify solutions.

What is the first step in solving the inequality -.6 > M/2 - 4?

• Add 4 to both sides

• Divide both sides by -2

• Multiply both sides by 2

• Subtract 6 from both sides

When should you flip the inequality sign?

• When subtracting a positive number

• When adding a negative number

• When multiplying or dividing by a negative number

• When the variable is on the right side

What is a common misconception about the direction of the inequality arrow?

• It always points to the larger number

• It indicates the direction of the graph

• It changes direction when the variable is on the right

• It points to the smaller number

Why is it important to use test points when solving inequalities?

• To verify the solution is correct

• To ensure the variable is on the left

• To avoid using negative numbers

• To simplify the inequality

How can you rewrite an inequality to make it easier to interpret?

• By ensuring the variable is on the left side

• By multiplying both sides by a positive number

• By flipping the inequality sign

• By adding the same number to both sides