How to solve and graph a compound inequality with AND

The video tutorial explains how to solve and graph compound inequalities. It begins by introducing the concept of compound inequalities and the need for shared solutions on a graph. The instructor then demonstrates solving the inequalities separately by dividing and graphing the solutions on a number line. The tutorial concludes by interpreting the graph to identify the solution set, emphasizing the intersection of the inequalities.

What is the first step in solving a compound inequality?

• Solve each inequality separately

• Shade the entire number line

• Graph the solutions immediately

• Combine the inequalities into one

When graphing the solution of an inequality, what does an open dot represent?

• The inequality is an 'or' type

• The number is included in the solution

• The number is not included in the solution

• The solution is incorrect

In which direction do you shade the number line for the inequality X > -5?

• Do not shade

• Both directions

• To the left

• To the right

What is the significance of the intersection in a compound inequality?

• It indicates the solution for only one inequality

• It is irrelevant to the solution

• It shows the union of solutions

• It represents the values that satisfy both inequalities

How do you represent a solution that includes the number 6 in a graph?

• With an open dot at 6

• By shading to the right of 6

• With a closed dot at 6

• By shading to the left of 6