Exploring Guided Notes for Video Creation

The video tutorial covers solving systems of linear inequalities graphically. It explains how to graph inequalities, identify solution regions, and write equations from graphs. The tutorial includes practice problems and examples to reinforce understanding of solving systems of inequalities using graphing techniques.

What is the solution of a system of linear inequalities?

• The set of all ordered pairs that satisfy at least one inequality

• The set of all ordered pairs that satisfy exactly one inequality

• The set of all ordered pairs that satisfy both inequalities

• The set of all ordered pairs that satisfy none of the inequalities

Where do the solutions to a system of inequalities lie on a graph?

• In the region where the graphs do not overlap

• On the lines of the inequalities

• In the region where the graphs overlap

• In the region where the graphs are not shaded

What is the y-intercept of the blue line in the example?

• -1

• 3

• 0

• 5

What is the slope of the blue line in the example?

• 2/3

• -2

• -4/5

• 1

Which inequality represents the blue line in the example?

• y > 2/3x + 3

• y ≤ 2/3x + 3

• y ≥ -4/5x - 1

• y < -4/5x - 1

What is the y-intercept of the red line in the example?

• 0

• 5

• 3

• -1

What is the slope of the red line in the example?

• 2/3

• -2

• -4/5

• 1

Which inequality represents the red line in the example?

• y > 2/3x + 3

• y ≤ 2/3x + 3

• y ≥ -4/5x - 1

• y > -4/5x - 1

What is the solution to the system of inequalities y > -2x + 2 and y ≤ x + 1?

• (3, 1)

• (0, 0)

• (1, 2)

• (2, 3)

What is the slope of a horizontal line?

• Undefined

• 0

• 1

• -1