Solving Inequalities and Their Properties

This video reviews two key concepts related to inequalities. First, it explains how to list integers that satisfy a given strict inequality, demonstrating the process with an example where n is between -3 and 1. The second part covers solving inequalities using similar methods to solving equations, ensuring the inequality symbol is maintained throughout. The example provided shows how to solve for p in the inequality 3p > 18, resulting in p being greater than 6.

What are the two key concepts discussed in the video related to inequalities?

• Graphing inequalities and listing integers

• Solving equations and graphing inequalities

• Listing integers and solving inequalities

• Listing integers and solving equations

What does a strict inequality mean in terms of inclusion of boundary values?

• Only the lower boundary is included

• Only the upper boundary is included

• Boundary values are never included

• Boundary values are always included

If n is between -3 and 1 in a strict inequality, which of the following is a valid value for n?

• 0

• 2

• 1

• -3

How many integer values satisfy the inequality -3 < n ≤ 1?

• 2

• 3

• 4

• 5

What is the first step in solving the inequality 3p - 7 > 11?

• Subtract 7 from both sides

• Add 7 to both sides

• Multiply both sides by 3

• Divide both sides by 3

After adding 7 to both sides of the inequality 3p - 7 > 11, what is the resulting inequality?

• 3p > 11

• 3p > 14

• 3p > 7

• 3p > 18

What is the final step to solve the inequality 3p > 18?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the solution for p in the inequality 3p > 18?

• p > 5

• p > 6

• p > 4

• p > 7

Which of the following is a valid value for p if 3p > 18?

• 5

• 6

• 4

• 7

What is the importance of maintaining the inequality symbol throughout the solving process?

• To change the direction of the inequality

• To simplify the inequality

• To make the equation easier to solve

• To ensure the solution is correct