Graphing a linear inequality in standard form

The video tutorial covers solving and graphing linear inequalities. It begins with setting up the problem and finding X and Y intercepts. The instructor explains how to graph the inequality using these intercepts and emphasizes the importance of test points to determine shading. The tutorial concludes with additional tips for graphing and verifying solutions.

What is the first step in finding the X intercept of an inequality in standard form?

• Set Y to 0 and solve for X

• Set X to 0 and solve for Y

• Solve the inequality directly

• Set both X and Y to 0

When dividing by a negative number in an inequality, what must you remember to do?

• Keep the inequality sign the same

• Add the same number to both sides

• Switch the inequality sign

• Multiply both sides by zero

How do you determine if the line in a graph of an inequality should be dashed or solid?

• By using a test point on the line

• By checking if the inequality is strict or not

• By the slope of the line

• By the color of the line

What is the purpose of using a test point when graphing an inequality?

• To calculate the exact solution

• To find the slope of the line

• To verify the solution and determine shading

• To determine the intercepts

Which point is commonly used as a test point when graphing inequalities?

• (2,2)

• (0,0)

• (-1,-1)

• (1,1)

If a test point results in a false statement, where should the shading be applied?

• Above the line

• To the left of the line

• On the line

• Below the line

What is an alternative method to verify the solution of an inequality graph?

• Using X and Y intercepts

• Checking the slope

• Rewriting the equation

• Using a calculator