Exploring Inequalities and Systems of Inequalities

What type of line is used when graphing an inequality that includes 'greater than or equal to'?

• Solid line

• Dotted line

• Dashed line

• Curved line

When graphing the inequality Y ≤ X + 1, where should the shading be?

• On the line

• Below the line

• To the left of the line

• Above the line

For the inequality Y > X + 1, what type of line should be drawn?

• Curved line

• Dotted line

• Dashed line

• Solid line

In the word problem involving t-shirts and keychains, what does the variable X represent?

• Number of keychains

• Total money raised

• Number of t-shirts

• Price of t-shirts

What is the inequality form for the word problem involving t-shirts and keychains?

• 10X + 2Y = 500

• 10X + 2Y ≥ 500

• 10X + 2Y < 500

• 10X + 2Y ≤ 500

When graphing X ≥ 3, what type of line should be used?

• Curved line

• Dotted line

• Solid line

• Dashed line

For the inequality Y < 2, where should the shading be?

• To the left of the line

• On the line

• Below the line

• Above the line

What is the correct inequality for a horizontal dashed line passing through the point (3, 2) with shading above the line?

• X < 3

• X > 3

• Y < 2

• Y > 2

When graphing two inequalities, where is the solution set found?

• Where the lines are parallel

• Where the lines are perpendicular

• Where the lines intersect

• Where the shaded regions overlap

If two inequalities do not overlap in their shaded regions, what is the solution?

• Two solutions

• No solution

• One solution

• Infinite solutions