Graphing Solution Sets for Systems of Inequalities

What is the first step in solving a system of inequalities graphically?

• Solve the equations algebraically

• Draw the axes

• Find the intercepts

• Shade the regions

When graphing x = -1, what type of line should be drawn?

• Horizontal dotted line

• Vertical solid line

• Horizontal solid line

• Vertical dotted line

In the first example, which region is shaded for the inequality -1 ≤ x < 2?

• To the left of x = -1

• To the right of x = 2

• Between x = -1 and x = 2

• Outside the range of x = -1 and x = 2

For the inequality 0 < y ≤ 3, what type of line is drawn at y = 0?

• Solid vertical line

• Dotted horizontal line

• Solid horizontal line

• Dotted vertical line

In the second example, what is the y-intercept of the line 3x + 2y = 1?

• 1

• 3

• 2

• 0.5

What type of line is used to graph the inequality x + 2y < -1?

• Solid line

• Dotted line

• Thick line

• Dashed line

Where is the solution region for the system 3x + 2y ≥ 1 and x + 2y < -1?

• Between the lines

• No solution

• Below both lines

• Above both lines

What shape is represented by the inequality x^2 + y^2 ≤ 9?

• Ellipse

• Circle

• Triangle

• Square

For the inequality x - y + 1 > 0, where is the solution region?

• Outside the circle

• On the line

• Below the line

• Above the line

What is the purpose of graphing systems of inequalities?

• To solve quadratic equations

• To visualize the solution set

• To determine the slope of a line

• To find the exact values of x and y