Solving Linear Equations: A Basic Approach

The video tutorial explains how to solve the inequality 3l - 6 ≥ 8. It begins by introducing the problem and analyzing the given inequality. The instructor then demonstrates how to isolate the variable 'l' by adding 6 to both sides and dividing by 3, resulting in the solution l ≥ 14/3. The tutorial emphasizes the importance of maintaining the inequality sign when dividing by a positive number.

What is the initial inequality given in the problem?

• 3l - 6 ≥ 8

• 3l + 6 ≤ 8

• 3l - 6 ≤ 8

• 3l + 6 ≥ 8

What is the goal when solving the given inequality?

• To add a constant to both sides

• To get l on the right-hand side

• To get l on the left-hand side

• To eliminate the variable l

What operation is performed to both sides to eliminate the constant term?

• Dividing by six

• Subtracting six

• Multiplying by six

• Adding six

What is the result after adding six to both sides of the inequality?

• 3l ≥ 2

• 3l ≥ 14

• 3l ≤ 14

• 3l ≤ 2

What is the next step after obtaining 3l ≥ 14?

• Multiplying both sides by three

• Dividing both sides by three

• Adding three to both sides

• Subtracting three from both sides

What happens to the inequality sign when dividing both sides by a positive number?

• It changes to less than or equal to

• It changes to greater than

• It remains the same

• It changes to less than

What is the final solution to the inequality?

• l ≥ 14/3

• l ≤ 14/3

• l ≤ 3/14

• l ≥ 3/14

What would happen to the inequality sign if we divided by a negative number?

• It would change to less than

• It would remain the same

• It would change to greater than or equal to

• It would change to less than or equal to