Solving and graphing a mulit step inequality with distributive property

The video tutorial explains how to solve and graph inequalities. It begins with the importance of removing parentheses using the distributive property. The teacher then demonstrates how to simplify and solve inequalities by isolating the variable, emphasizing the avoidance of negative numbers to prevent sign errors. The tutorial concludes with graphing the solution on a number line and testing intervals to verify the solution.

What is the first step when dealing with inequalities that include parentheses?

• Use the distributive property to remove parentheses

• Add all numbers first

• Graph the inequality immediately

• Move all variables to one side

Why is it recommended to eliminate the smaller variable when solving inequalities?

• To avoid negative numbers

• To make the equation more complex

• To ensure the variable is on the right side

• To make the equation longer

What should you do after isolating the variable in an inequality?

• Graph the inequality

• Multiply by 8

• Add 10 to both sides

• Subtract 5 from both sides

When graphing an inequality, what does an open circle on the number line indicate?

• The inequality is an equation

• The number is included in the solution

• The number is not included in the solution

• The inequality is incorrect

In the inequality W > -2, which direction should the arrow point on the graph?

• To the right

• Downwards

• Upwards

• To the left