Solving Systems of Linear Inequalities

In this video, Black Beard and Red Beard are on a quest to find a treasure chest by solving systems of linear inequalities. They use their math skills to graph two inequalities: y > x + 3 and y ≤ -3/2x + 1. By plotting these on a graph, they determine the solution area where the two shaded regions intersect, guiding them to the treasure's location.

What is the final test that Black Beard and Red Beard must complete to get their pirate badges?

• Find a treasure chest of gold

• Solve a system of linear equations

• Navigate through a storm

• Build the fastest ship

What is the first inequality given as a hint?

• y ≤ x + 3

• y ≥ x + 3

• y > x + 3

• y < x + 3

How do you determine the slope of the line y = x + 3?

• By calculating the midpoint

• By looking at the y-intercept

• By finding the x-intercept

• By dividing the rise by the run

What type of line is used to graph y > x + 3?

• Dotted line

• Curved line

• Dashed line

• Solid line

Which point is used to test the inequality y > x + 3?

• (2, 2)

• (0, 0)

• (1, 1)

• (0, 4)

What is the second inequality given as a hint?

• y < -3/2x + 1

• y > -3/2x + 1

• y ≤ -3/2x + 1

• y ≥ -3/2x + 1

How do you determine the slope of the line y = -3/2x + 1?

• By calculating the midpoint

• By finding the x-intercept

• By dividing the rise by the run

• By looking at the y-intercept

What type of line is used to graph y ≤ -3/2x + 1?

• Dashed line

• Solid line

• Curved line

• Dotted line

Which point is used to test the inequality y ≤ -3/2x + 1?

• (0, 0)

• (2, 2)

• (-2, 0)

• (1, 1)

What do Black Beard and Red Beard find by seeing where the two shaded regions intersect?

• The area where the treasure might be

• The distance to the treasure

• The exact location of the treasure

• The coordinates of the treasure