#1
Which of the following represents a linear inequality?
2x + 5 < 10
ExplanationLinear inequality with variables raised to the first power.
#2
What is the solution set for the inequality 2x - 5 ≥ 7?
{x | x ≥ 6}
ExplanationSet notation for values greater than or equal to 6.
#3
What is the solution set for the inequality 4x + 3 > 15?
{x | x > 4}
ExplanationSet notation for values greater than 4.
#4
What is the solution set for the inequality 3x + 2 ≤ 11?
{x | x ≤ 4}
ExplanationSet notation for values less than or equal to 4.
#5
What is the solution set for the inequality 5x - 3 > 7?
{x | x ≥ 2}
ExplanationSet notation for values greater than or equal to 2.
#6
What is the solution set for the inequality 6 - 4x < 2?
{x | x ≥ 1}
ExplanationSet notation for values greater than or equal to 1.
#7
Which of the following represents the graph of the inequality y < 2x + 3?
A line passing through (0, -3) and (1, 2)
ExplanationGraph of a linear inequality with a specified line.
#8
For the inequality 3x - 4 ≤ 5, which of the following represents the solution set graphically?
A line parallel to the x-axis passing through (0, 1)
ExplanationGraph of a linear inequality parallel to the x-axis.
#9
Which of the following inequalities represents the shaded region in the graph below?
y ≥ -2x + 4
ExplanationInequality describing the region above the line on the graph.
#10
Which of the following inequalities has a solution set that represents a line?
4x + 2y = 8
ExplanationEquation representing a line in the coordinate plane.
#11
Which of the following inequalities represents a shaded region to the left of the line?
y < -2x + 3
ExplanationInequality describing the region to the left of the line on the graph.
#12
For the inequality 3y + 2x ≤ 6, which of the following is true?
The shaded region lies below the line.
ExplanationDirection of the shaded region in relation to the line.
#13
For the inequality 4y + 3x ≥ 6, which of the following is true?
The shaded region lies to the right of the line.
ExplanationDirection of the shaded region in relation to the line.
#14
Which of the following represents the solution set for the inequality -2x + 3y ≥ 6?
{(x, y) | y ≤ 2x + 3}
ExplanationSet notation for points below or on the line.
#15
Which of the following inequalities represents a region that is unbounded?
x + y > 7
ExplanationInequality describing a region extending indefinitely.
#16
Which of the following inequalities represents a shaded region above and to the right of the line?
y < 4x - 1
ExplanationInequality describing the region above and to the right of the line on the graph.
#17
For the inequality 2y - x > 6, which of the following is true?
The shaded region lies to the left of the line.
ExplanationDirection of the shaded region in relation to the line.
#18
What is the solution set for the inequality -2x + 4y ≤ 8?
{(x, y) | y ≥ 0.5x + 2}
ExplanationSet notation for points below or on the line.
#19
Which of the following inequalities represents a shaded region above and to the left of the line?
y ≥ -x + 2
ExplanationInequality describing the region above and to the left of the line on the graph.
#20
Which of the following inequalities represents a shaded region below and to the right of the line?
y ≥ 2x - 5
ExplanationInequality describing the region below and to the right of the line on the graph.
#21
What is the solution set for the inequality -x + 2y ≥ 4?
{(x, y) | y ≥ 0.5x + 2}
ExplanationSet notation for points above or on the line.
#22
Which of the following inequalities represents a shaded region below and to the left of the line?
y ≤ x - 2
ExplanationInequality describing the region below and to the left of the line on the graph.
#23
What is the solution set for the inequality 3x - 2y > 6?
{(x, y) | y ≥ 1.5x - 3}
ExplanationSet notation for points above or on the line.