Graphing Inequalities in Two Variables One Step

What is the first step in graphing a linear inequality?

• Calculate the slope

• Find the x-intercept

• Draw a circle

• Identify the boundary line

How do you determine if a point is a solution to a linear inequality?

• Graph the point and see if it falls on the line

• Count the number of vowels in the point's coordinates

• Ask a friend if they think the point is a solution

• Substitute the point's coordinates into the inequality and check if it holds true

What is the solution to the system of linear inequalities: y < 2x - 1 and y > -x + 3?

• The solution is the region above the line y = 2x - 1

• The solution is the region to the left of the line y = 2x - 1

• The solution is the region between the two lines y < 2x - 1 and y > -x + 3.

• The solution is the region below the line y = -x + 3

When graphing a linear inequality, how do you determine if the line should be solid or dashed?

• Solid for even numbers, dashed for odd numbers

• Solid for addition, dashed for subtraction

• Solid or dashed based on the presence of the equal sign

• Solid for positive slope, dashed for negative slope

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Which inequality matches the picture shown?

• y < -1/2 x + 5

• y < -1/2 x + 5

• y > -1/2 x + 5

• y > -1/2 x + 5

What is the solution to the system of linear inequalities: 3x - 2y < 6 and 2x + y > 4?

• The solution is a single point on the graph.

• The solution is the region where the two shaded areas do not overlap.

• The solution is a line on the graph.

• The solution is the region where the two shaded areas overlap.

When graphing a system of linear inequalities, what does the shaded region represent?

• The solution to the system of inequalities

• The area outside the solution to the system of inequalities

• The area where the lines of the inequalities intersect

• The area where the lines of the inequalities do not intersect

What does the shaded region represent when graphing a single linear inequality?

• The solution to the inequality

• The area outside the solution to the inequality

• The area where the line of the inequality intersects with the x-axis

• The area where the line of the inequality intersects with the y-axis

What is the second step in graphing a linear inequality after identifying the boundary line?

• Calculate the slope

• Find the x-intercept

• Shade the appropriate region

• Draw a circle