Graphing Linear Inequalities and Functions

This video tutorial teaches how to graph linear inequalities, starting with simple examples and progressing to more complex ones. It covers graphing techniques, shading regions, and understanding solution sets. The video also provides printable notes with QR codes and timestamps for each problem. Viewers are encouraged to solve a problem in the comments, applying the concepts learned.

What is the main focus of this video tutorial?

• Understanding quadratic inequalities

• Graphing quadratic equations

• Graphing linear inequalities

• Solving linear equations

What is the first step in graphing the inequality y ≥ -2?

• Shading below the line y = -2

• Using a dotted line for y = -2

• Plotting the line y = -2

• Plotting the line y = 2

When graphing x < 4, why is a dotted line used?

• Because x is less than or equal to 4

• Because x can equal 4

• Because x cannot equal 4

• Because x is greater than 4

What is the slope of the line y = x + 3?

• 0

• 1

• 3

• x

In the inequality y < 2x - 4, what does the solution set represent?

• All points on the line

• All points above the line

• All points below the line

• All points to the right of the line

How do you rearrange 3y ≤ 6 - x to y = mx + b form?

• Subtract x from both sides

• Add x to both sides

• Multiply both sides by 3

• Divide both sides by 3