Solving and Graphing One Step Inequalities

This video tutorial covers solving and graphing one-step inequalities. It begins with an introduction to inequalities, explaining that the process is similar to solving equations. The tutorial then demonstrates solving inequalities using addition, subtraction, multiplication, and division. It also covers graphing inequalities, explaining the use of open and closed circles to represent solutions. The video concludes with practice problems and solutions to reinforce the concepts taught.

What is the first step in solving the inequality n + 3 > 12?

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

If you have the inequality n - 3 > 12, what operation should you perform to isolate n?

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

In the inequality 3n > 12, what is the value of n after solving?

• n > 6

• n > 9

• n > 3

• n > 4

When graphing the inequality n > 9, what type of circle should be used on the number line?

• Half-filled circle

• No circle

• Closed circle

• Open circle

How do you graph the inequality x > 3?

• Closed circle at 3, shading to the left

• Open circle at 3, shading to the left

• Open circle at 3, shading to the right

• Closed circle at 3, shading to the right

What does a closed circle on a graph of an inequality indicate?

• The value is less than the solution

• The value is not included in the solution

• The value is greater than the solution

• The value is included in the solution

What is the solution to the inequality x + 8 ≥ 18?

• x ≥ 8

• x ≥ 10

• x ≥ 18

• x ≥ 26

When graphing the inequality x + 8 ≥ 18, what type of circle should be used?

• Open circle

• Closed circle

• Half-filled circle

• No circle

What is the solution to the inequality n / 3 > 9?

• n > 3

• n > 27

• n > 9

• n > 18

When graphing the inequality n / 3 > 9, what type of circle should be used?

• No circle

• Half-filled circle

• Open circle

• Closed circle