Solving and graphing a linear inequality

The video tutorial explains how to graph inequalities by treating them like equations. It covers solving inequalities, finding solutions, and using a number line for visualization. The tutorial emphasizes the importance of test points and shading to determine the range of solutions. Key concepts include solving steps, variable isolation, and understanding the impact of negative coefficients.

What is the first step in solving an inequality?

• Ignore the inequality sign

• Graph the inequality directly

• Treat it like an equation

• Multiply both sides by zero

When solving an inequality, why do we move the variable to one side?

• To make the equation more complex

• To simplify the inequality

• To eliminate the variable

• To add more variables

How do you eliminate the smaller coefficient in an inequality?

• Subtract it from both sides

• Add it to both sides

• Multiply it by zero

• Divide it by itself

What is the solution to the inequality 8B > -36?

• B = -4.5

• B < -4.5

• B = 4.5

• B > -4.5

When should you swap the inequality sign?

• When the variable is isolated

• When dividing or multiplying by a negative number

• When subtracting a negative number

• When adding a positive number

How do you verify the solution of an inequality on a number line?

• By drawing a straight line

• By plotting only the endpoint

• By using test points

• By ignoring the inequality

What does shading to the right of a point on a number line indicate?

• No values are valid

• All values are greater than the point

• All values are equal to the point

• All values are less than the point