Solving Systems of Inequalities Explained

The video tutorial from Friendly Math 101 covers solving systems of inequalities. It explains how to determine whether to shade above or below the line and whether to use a solid or dotted line based on the inequality symbols. The tutorial provides examples of graphing inequalities, finding intersection points, and identifying solution regions. It emphasizes the importance of not selecting points on dotted lines as solutions.

What should you remember about shading when dealing with inequalities?

• Shade above for less than or equal to

• Shade above for greater than or equal to

• Shade below for greater than or equal to

• Shade below for greater than

What type of line is used for inequalities without the equal to part?

• Solid line

• Dotted line

• Dashed line

• Bold line

For the inequality y > 3x - 3, what is the slope?

• 3

• -3

• 1/3

• -1/3

Where do you start graphing when given the y-intercept?

• At any random point

• At the y-intercept

• At the origin

• At the x-intercept

For the inequality y ≤ 12x + 2, what type of line should be drawn?

• Bold line

• Dashed line

• Solid line

• Dotted line

What is the solution region for a system of inequalities?

• Where the lines intersect

• Where the shaded regions overlap

• Where the lines are parallel

• Where the lines are perpendicular

For the inequality y > -2x - 1, what is the y-intercept?

• -2

• 1

• -1

• 2

How do you determine the shading for y > -2x - 1?

• Shade below the line

• Shade above the line

• Shade to the left of the line

• Shade to the right of the line

What is the first step to isolate y in the inequality -4x + y ≥ 1?

• Divide both sides by 4

• Add 4x to both sides

• Multiply both sides by 4

• Subtract 4x from both sides

What should you avoid when picking a solution point for a system of inequalities?

• Points outside the shaded region

• Points in the shaded region

• Points on the solid line

• Points on the dotted line