Solving Systems of Linear Inequalities in Two Variables

What is the first step in graphing the inequality 4x - y > 2?

• Add 4x to both sides

• Subtract 4x from both sides

• Multiply both sides by -1

• Divide both sides by 4

When dividing both sides of an inequality by a negative number, what must you remember to do?

• Multiply both sides by -1

• Flip the direction of the inequality

• Add the same number to both sides

• Subtract the same number from both sides

What type of line is used to graph a strict inequality like y < 4x - 2?

• Solid line

• Dashed line

• Dotted line

• Bold line

For the inequality y < 4x - 2, where should you shade the graph?

• On the line

• Below the line

• To the left of the line

• Above the line

What is the boundary line for the inequality y ≤ x + 1?

• y = 4x - 2

• y = 2x + 1

• y = x - 1

• y = x + 1

In a system of inequalities, what represents the solution region?

• The area where the graphs overlap

• The area to the left of both lines

• The area below both lines

• The area above both lines

For the inequality y ≥ 2, what type of line is used for the boundary?

• Dotted line

• Bold line

• Dashed line

• Solid line

What is the slope of the line y = 3/2x - 1?

• 1/2

• 3/2

• 2

• 1

When graphing y = 3/2x - 1, what is the y-intercept?

• 0

• -1

• 2

• 1

For the inequality y ≤ 3/2x - 1, where should you shade the graph?

• Above the line

• Below the line

• On the line

• To the right of the line