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 highlights the importance of flipping the inequality sign when dividing by a negative number. Finally, it demonstrates graphing the solution and determining the correct shading direction to represent all possible solutions.

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

• Subtract the same number from both sides

• 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?

• Flip the inequality sign

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply both sides by a positive number

What is the solution to the inequality -20B ≤ 20 after dividing by -20?

• B ≥ 1

• B ≤ 1

• B ≥ -1

• B ≤ -1

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

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

• By checking if the inequality involves addition or subtraction

• By checking if the inequality is strict or not

• By looking at the coefficient of the variable

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

• The point satisfies the inequality

• The inequality has no solution

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

• The inequality is strict