One Solution Compound Inequalities

The video tutorial explains how to solve a compound inequality using a number line. It begins by introducing the concept of compound inequalities and the use of a number line for special solutions. The tutorial then demonstrates graphing two inequalities, each with a closed circle on the number line, and shading in different directions. The focus is on finding the intersection of the solution sets, which is the overlap on the number line. The tutorial concludes with the solution, X = 4, as the only value that satisfies both inequalities.

What is the purpose of using a number line in solving compound inequalities?

• To visually represent the solution set

• To determine the slope of the line

• To find the exact numerical solution

• To calculate the intersection of inequalities

When graphing the first inequality, why is a closed circle used?

• Because the value is an approximation

• Because the inequality includes equality

• Because the value is not included

• Because the inequality is strict

In the context of the first inequality, which direction is shaded on the number line?

• No shading is needed

• To the left

• To the right

• Both directions

What is the significance of the intersection in compound inequalities?

• It highlights the difference between solutions

• It indicates the solution that satisfies both inequalities

• It shows the union of solutions

• It represents the average of solutions

What is the final solution for the compound inequality discussed?

• X ≠ 4

• X = 4

• X > 4

• X < 4