Solving One-step Inequalities

The video tutorial covers solving one-step inequalities using inverse operations, such as addition, subtraction, multiplication, and division. It explains how to graph solutions and highlights the importance of flipping the inequality sign when multiplying or dividing by negative numbers. The tutorial includes examples and emphasizes checking solutions to ensure accuracy.

What is the first step in solving one-step inequalities?

• Draw a line through the inequality

• Graph the solution

• Identify the variable

• Perform inverse operations

What does an open circle on a graph represent in the context of inequalities?

• The number is not included in the solution

• The number is included in the solution

• The solution is undefined

• The graph is incorrect

If you have the inequality 'x - 5 < 8', what is the solution for x?

• x > 13

• x > 3

• x < 13

• x < 3

In the inequality 't + 9 ≤ 6', what is the correct value of t?

• t ≥ 3

• t ≤ -3

• t ≤ 3

• t ≥ -3

How do you solve the inequality 'w + 24 ≤ 15' using inverse operations?

• Divide both sides by 24

• Subtract 24 from both sides

• Add 24 to both sides

• Multiply both sides by 24

What is the result of dividing both sides of the inequality '45k ≥ 405' by 9?

• k ≥ 5

• k ≤ 5

• k ≥ 45

• k ≤ 45

What is the correct graph representation for the inequality 'x > 24'?

• Open circle at 24, shading to the right

• Closed circle at 24, shading to the right

• Open circle at 24, shading to the left

• Closed circle at 24, shading to the left

When dividing an inequality by a negative number, what must you do to the inequality sign?

• Keep it the same

• Remove it

• Make it an equal sign

• Change it to its opposite

What happens to the inequality sign when multiplying both sides by a negative number?

• It becomes an equality

• It disappears

• It remains unchanged

• It reverses

If 'p < -28' after multiplying by -4, what was the original inequality?

• p < 7

• p < -7

• p > 7

• p > -7