Solving Systems of Linear Inequalities

What is a system of linear inequalities?

• A single linear inequality

• A single linear equation

• A set of inequalities with the same variables

• A set of equations with the same variables

What type of line is used for the inequality y < 2x - 1?

• Dotted line

• Curved line

• Dashed line

• Solid line

Where do you shade for the inequality y < 2x - 1?

• To the left of the line

• On the line

• Above the line

• Below the line

What is the slope of the line for the inequality y > 2?

• 2

• 0

• Undefined

• 1

What type of line is used for the inequality y > 2?

• Curved line

• Solid line

• Dashed line

• Dotted line

Which point is a solution to the system of inequalities y < 2x - 1 and y > 2?

• (2, -1)

• (-3, -2)

• (0, 0)

• (4, 3)

Which point is NOT a solution to the system of inequalities y < 2x - 1 and y > 2?

• (5, -1)

• (0, 2)

• (4, 3)

• (-1, 5)

What is the first step in converting an inequality to slope-intercept form?

• Subtract the same number from both sides

• Add the same number to both sides

• Divide both sides by the same number

• Multiply both sides by the same number

What is the slope of the line for the inequality y ≤ -2x + 3?

• -3

• 3

• -2

• 2

Which point is a solution to the inequality y ≤ -2x + 3?

• (0, 0)

• (1, 1)

• (-1, 5)

• (2, -1)