Understanding Compound Inequalities

This video tutorial by Mr. J explains how to solve and graph compound inequalities involving 'or'. It begins with an introduction to the concept, followed by step-by-step solutions to two separate inequalities: -5W - 2/8 > -4 and 2W + 6 > 30. The video demonstrates how to isolate the variable W in each inequality and solve them individually. It then shows how to graph the solutions on a number line, representing W < 6 or W > 12. The tutorial concludes with a summary of the process, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number.

What is the first step in solving a compound inequality involving 'or'?

• Combine the inequalities immediately.

• Graph the inequalities first.

• Solve each inequality separately.

• Solve both inequalities together.

What operation should be used to undo division when solving -5W - 2/8 > -4?

• Addition

• Subtraction

• Multiplication

• Division

When solving -5W > -30, what must you remember about the inequality symbol?

• It stays the same.

• It flips when dividing by a negative.

• It becomes an equal sign.

• It is removed.

What is the result of solving 2W + 6 > 30?

• W < 6

• W > 6

• W < 12

• W > 12

What does the compound inequality W < 6 or W > 12 mean?

• W is exactly 6 or 12.

• W is between 6 and 12.

• W is greater than 6 and less than 12.

• W is less than 6 or greater than 12.

How do you represent W < 6 on a number line?

• Closed circle at 6 with an arrow to the right.

• Open circle at 6 with an arrow to the left.

• Closed circle at 6 with an arrow to the left.

• Open circle at 6 with an arrow to the right.

How do you represent W > 12 on a number line?

• Closed circle at 12 with an arrow to the left.

• Open circle at 12 with an arrow to the left.

• Closed circle at 12 with an arrow to the right.

• Open circle at 12 with an arrow to the right.

What is the purpose of graphing a compound inequality?

• To solve the inequality.

• To check the solution.

• To visually represent the solution set.

• To find the exact solution.

What does an open circle on a number line indicate?

• The number is included in the solution.

• The number is not included in the solution.

• The inequality is strict.

• The inequality is non-strict.

What is the final step after solving both inequalities in a compound inequality?

• Graph the solutions.

• Combine the solutions.

• Rewrite the inequalities.

• Check the solutions.