Easiest way to solve and graph a compound inequality

The video tutorial explains how to graph compound inequalities by either rewriting them as separate inequalities or using properties of inequalities. It demonstrates isolating the variable and graphing the solution, emphasizing the importance of understanding open and closed circles on the graph. The tutorial concludes with testing points to verify the solution.

What are the two methods mentioned for solving compound inequalities?

• Using a calculator or solving manually

• Solving separate inequalities or using properties of inequalities

• Graphing directly or using a table

• Using substitution or elimination

What operation is performed on both sides of the inequality to isolate the variable?

• Adding a constant

• Subtracting a constant

• Dividing by a constant

• Multiplying by a constant

When graphing the solution, what does an open circle on a number indicate?

• The number is a test point

• The number is not included in the solution

• The number is a midpoint

• The number is included in the solution

Which of the following is a correct test point for the inequality 5 ≤ X < 9?

• 5

• 9

• 10

• 4

What is the purpose of using test points in graphing inequalities?

• To find the midpoint of the graph

• To verify the solution of the inequality

• To determine the slope of the line

• To calculate the range of the function