Solving a two step inequality

The video tutorial explains how to solve a two-step inequality and graph the solution on a number line. It begins with an introduction to inequalities and the use of inverse operations, followed by a detailed walkthrough of solving the inequality step-by-step. The tutorial emphasizes the importance of flipping the inequality sign when dividing by a negative number. Finally, it demonstrates how to graph the solution, highlighting the points that satisfy the inequality.

What is the first step in solving the inequality -, 4 -, 2P ≥ 8?

• Divide both sides by 2

• Subtract 4 from both sides

• Add 4 to both sides

• Multiply both sides by 2

When solving inequalities, what must you remember to do when dividing by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by a positive number

• Flip the inequality sign

What is the solution to the inequality -, 2P ≥ 12 after performing the necessary operations?

• P ≥ -6

• P ≥ 6

• P ≤ -6

• P ≤ 6

How is the solution P ≤ -6 represented on a number line?

• A closed circle at -6 with an arrow pointing to the left

• An open circle at -6 with an arrow pointing to the left

• A closed circle at -6 with an arrow pointing to the right

• An open circle at -6 with an arrow pointing to the right

Which of the following points is part of the solution set for P ≤ -6?

• -4

• -7

• -5

• -3