How to Solve Inequalities on Number Lines

The video tutorial guides students through solving an inequality problem using a number line. It explains the significance of filled and open circles, the use of inequality symbols, and the role of absolute value. The instructor demonstrates a process of elimination and testing values to arrive at the correct answer, emphasizing understanding key features of the number line and applying logical reasoning.

What does a filled circle on a number line indicate?

• The number is less than the variable.

• The number is greater than the variable.

• The number is not included in the solution.

• The number is included in the solution.

How can you determine if a number can be part of the solution using inequality symbols?

• By checking if the symbol has a line underneath it.

• By checking if the symbol is a circle.

• By checking if the symbol is a square.

• By checking if the symbol is a triangle.

What happens to a negative number when you apply absolute value?

• It remains negative.

• It doubles in value.

• It becomes positive.

• It becomes zero.

Why is zero often used as a test value in inequalities?

• Because it is always part of the solution.

• Because it simplifies calculations.

• Because it is the largest number.

• Because it is the smallest number.

What is the final step in confirming the correct inequality?

• Ignoring the number line.

• Guessing the answer.

• Using process of elimination.

• Checking all possible values.