Graphing Systems of Inequalities: Techniques and Solutions

What is the main topic of the lesson?

• Graphing linear equations

• Solving quadratic equations

• Systems of inequalities

• Factoring polynomials

What is the first step in graphing the inequality x + y < 4?

• Plotting the y-intercept

• Shading the region

• Rewriting it in slope-intercept form

• Finding the x-intercept

How do you represent the slope of -1 in fractional form?

• 1/-1

• -1/1

• -1/2

• 1/1

What is the y-intercept of the inequality y < -x + 4?

• 0

• 1

• -4

• 4

What type of line is used to graph the inequality y < -x + 4?

• Solid line

• Dashed line

• Dotted line

• Bold line

Which test point is used to determine the shading for the inequality y < -x + 4?

• (1,1)

• (0,0)

• (2,2)

• (-1,-1)

What is the y-intercept of the inequality y ≥ x - 3?

• -3

• 0

• 3

• 1

What type of line is used to graph the inequality y ≥ x - 3?

• Bold line

• Solid line

• Dotted line

• Dashed line

Which test point is used to determine the shading for the inequality y ≥ x - 3?

• (0,0)

• (1,1)

• (-1,-1)

• (2,2)

Where is the solution region for the system of inequalities y < -x + 4 and y ≥ x - 3?

• Where the lines intersect

• Below both lines

• Above both lines

• Where the shaded regions overlap