#1
Which of the following is a graphical representation of the inequality x > 3?
A solid line passing through the point (3,0) with shading on the right side.
A dashed line passing through the point (3,0) with shading on the left side.
A solid line passing through the point (3,0) with shading on the left side.
A dashed line passing through the point (3,0) with shading on the right side.
#2
For the inequality 2x + y > 8, which point is in the solution set?
#3
Which of the following inequalities represents a vertical line when graphed?
y > 2x + 3
x < 4
2y ≤ 6
x = -5
#4
What is the solution set of the inequality 2x + 3y < 12 when graphed?
The area below the line with a slope of -2/3 passing through the points (0,4) and (6,0).
The area above the line with a slope of -2/3 passing through the points (0,4) and (6,0).
The area below the line with a slope of 2/3 passing through the points (0,4) and (6,0).
The area above the line with a slope of 2/3 passing through the points (0,4) and (6,0).
#5
Which of the following inequalities represents a horizontal line when graphed?
y > 2x + 3
x < 4
2y ≤ 6
y = -5
#6
What does the inequality y ≤ 2x + 1 represent when graphed?
A line passing through the origin with a slope of 2 and shaded area below the line.
A line passing through the origin with a slope of -2 and shaded area above the line.
A line passing through the origin with a slope of -2 and shaded area below the line.
A line passing through the origin with a slope of 2 and shaded area above the line.
#7
For the inequality 3y - 2x ≥ 6, which region of the graph is shaded when plotted?
Above the line.
Below the line.
To the right of the line.
To the left of the line.
#8
What does the shaded area represent in the graphical representation of the inequality y ≥ -3x + 5?
The solution set
The constraint set
The feasible region
The infeasible region
#9
Which of the following inequalities represents a region that includes the origin (0,0) when graphed?
x < 1
y > 2
x + y ≤ 3
2x - 3y ≥ 6
#10
What is the solution to the inequality system x ≥ -1 and y < 3 when graphed?
A region bounded by the lines x = -1 and y = 3.
A region bounded by the lines x = -1 and y = 3, including the boundary lines.
A region bounded by the lines x = -1 and y = 3, excluding the boundary lines.
A single point at (-1, 3).
#11
In the inequality 4x - 3y > 12, if (2, -4) satisfies the inequality, what does this indicate?
The point lies on the boundary line.
The point lies outside the shaded region.
The point lies inside the shaded region.
The point does not satisfy the inequality.
#12
In which quadrant does the solution to the inequality x + y < 4 lie?
First quadrant
Second quadrant
Third quadrant
Fourth quadrant
#13
What does a dashed boundary line represent in a graphical representation of an inequality?
The line is not a part of the solution set.
The line is a part of the solution set.
The line represents an equation, not an inequality.
The line represents a constraint.
#14
In the inequality -2x + 3y ≤ 6, what is the slope of the boundary line?
#15
When graphing the inequality y > 2x - 1, which direction should the shading be relative to the boundary line?
Above the line
Below the line
Right of the line
Left of the line
#16
Which of the following inequalities has no solution?
2x + 3y < 6
x > 2x - 1
y ≤ x + 2 and y > x + 4
3x - 2y ≥ 9
#17
In the inequality system 3x - 2y ≥ 6 and y < x + 2, how many points satisfy both inequalities?