Solving and graphing a linear inequality with greater than or equal to ex 2

The video tutorial demonstrates how to solve and graph a linear inequality. It begins by treating the inequality as an equation and using inverse operations to isolate the variable. Once solved, the solution is graphed on a number line, highlighting the importance of testing points to confirm the solution set. The tutorial emphasizes understanding the inequality symbol and its impact on the graph.

What is the first step in solving a linear inequality?

• Treating it like an equation

• Shading the number line

• Graphing the inequality

• Testing points on a number line

When graphing the solution of an inequality, what does a filled-in dot on the number line represent?

• The inequality is true for all points

• The point is included in the solution

• The point is not part of the solution

• The inequality is false at that point

How can you determine which side of the number line contains the solutions to the inequality?

• By using a calculator

• By shading the entire number line

• By testing points on both sides

• By drawing a vertical line

What should you do if a point does not satisfy the inequality?

• Shade the entire number line

• Include it in the solution

• Ignore it and move on

• Exclude it from the solution

Why is it important to test points when graphing an inequality?

• To ensure the graph is colorful

• To find the midpoint of the line

• To make the graph symmetrical

• To confirm the inequality's truth