Solve an inequality by appyling the distributive property

The video tutorial demonstrates how to solve and graph a linear inequality. It begins with simplifying the inequality into a two-step equation, followed by solving it through subtraction and division. The solution is then graphed on a number line, with an explanation of how to test values to verify the solution. The tutorial concludes with a summary of the process.

What is the first step in simplifying a linear inequality?

• Apply the distributive property

• Multiply both sides by a variable

• Add a constant to both sides

• Divide both sides by a constant

After simplifying the inequality, what operation is performed to isolate the variable?

• Subtraction

• Addition

• Multiplication

• Division

When graphing the solution of an inequality on a number line, what does a shaded circle represent?

• The value is greater than the solution

• The value is not part of the solution

• The value is less than the solution

• The value is part of the solution

Which of the following values would satisfy the inequality x ≤ 8?

• 11

• 9

• 10

• 7

What is the purpose of testing points on a number line when graphing an inequality?

• To calculate the slope of the line

• To check if the line is straight

• To determine which values satisfy the inequality

• To find the midpoint of the line