How to solve a two step inequality in two different ways because of a fraction

The video tutorial explains how to solve inequalities and graph their solutions. It begins with an introduction to inequalities, followed by a demonstration of solving them using inverse operations. The instructor then shows how to eliminate fractions by multiplying by the reciprocal. An alternative method involving multiplication is also presented. Finally, the tutorial covers graphing the solution on a number line, using test points to verify the solution set.

What is the main difference between solving equations and inequalities as mentioned in the video?

• Inequalities cannot be solved using inverse operations.

• Equations require graphing solutions, inequalities do not.

• Inequalities require graphing solutions, equations do not.

• Equations and inequalities are solved using different operations.

What is the first step in solving the inequality involving fractions?

• Add fractions to both sides.

• Subtract fractions from both sides.

• Multiply by the reciprocal of the fraction.

• Divide by the fraction.

What is the result of multiplying 9 by 2/3 in the process of solving the inequality?

• 9

• 12

• 3

• 6

How do you determine if a point is part of the solution set when graphing an inequality?

• By ensuring the point is not on the number line.

• By checking if the point is greater than the solution.

• By checking if the point is less than the solution.

• By testing if the point satisfies the inequality.

When graphing the inequality, what does a filled-in dot on the number line represent?

• The point is part of the solution.

• The point is greater than the solution.

• The point is less than the solution.

• The point is not part of the solution.