The video tutorial explains how to graph inequalities, focusing on understanding inequality symbols, differentiating between open and closed points, and using a number line. It also covers the use of test points to determine shading on a graph, providing a comprehensive guide to graphing one-variable inequalities.

What is a key difference between solving equations and inequalities?

• Equations and inequalities cannot be solved using graphs.

• Both have the same number of solutions.

• Inequalities have multiple solutions, while equations have one.

• Equations have multiple solutions, while inequalities have one.

What does the inequality symbol '≤' indicate?

• The value is less than the number.

• The value is greater than the number.

• The value is equal to the number.

• The value is less than or equal to the number.

What is the significance of a closed point in graphing inequalities?

• It indicates the inequality is unsolvable.

• It indicates the value is not part of the solution.

• It indicates the value is part of the solution.

• It indicates the graph is incorrect.

Why might you choose not to start a number line at zero when graphing inequalities?

• To make the graph look more symmetrical.

• To ensure all numbers are positive.

• To simplify the graphing process by focusing on relevant values.

• To avoid using negative numbers.

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

• To check if the inequality is linear.

• To find the exact solution of the inequality.

• To decide which side of the number line to shade.

• To determine the correct inequality symbol.

If an inequality is 'x > -11', which direction should you shade on the number line?

• Shade both directions.

• Do not shade at all.

• Towards the negative numbers.

• Towards the positive numbers.

How can you verify if a point is part of the solution in an inequality?

• By ensuring the point is positive.

• By seeing if the point is on the number line.

• By checking if the point satisfies the inequality.

• By confirming the point is negative.