Applying distributive property to solve and graph an inequality

The video tutorial explains how to solve and graph inequalities. It begins by treating the inequality like an equation, applying the distributive property, and isolating variables. The tutorial emphasizes the importance of flipping the inequality sign when dividing by a negative number. Finally, it demonstrates graphing the solution on a number line, determining the direction of shading based on test points.

What is the first step when solving an inequality that involves a distributive property?

• Multiply both sides by a negative number

• Apply the distributive property

• Graph the inequality

• Add the same number to both sides

When isolating the variable in an inequality, what must you remember to do if you divide by a negative number?

• Subtract the same number from both sides

• Multiply by a positive number

• Flip the inequality sign

• Add 10 to both sides

What does it mean if a point on a number line is part of the solution to an inequality?

• The point satisfies the inequality

• The inequality sign should be flipped

• The point is not included in the solution

• The point is a boundary but not part of the solution

How do you determine the direction of shading on a number line when graphing an inequality?

• By looking at the coefficient of the variable

• By testing points to the left and right of the boundary

• By using the distributive property

• By checking if the inequality is strict or not

What is the significance of the equal sign in an inequality when graphing?

• It indicates that the boundary point is not included

• It suggests that the inequality needs to be solved again

• It means the inequality is strict

• It shows that the boundary point is included in the solution