Linear Inequality Skills

Graph the inequality y > 2x - 1 on a coordinate plane.

• The graph of the inequality y < 2x - 1 is a solid line with a shaded region below it.

• The graph of the inequality y = 2x - 1 is a dashed line with a shaded region above it.

• The graph of the inequality y > 2x - 1 is a dashed line with a shaded region above it.

• The graph of the inequality y > 2x + 1 is a dashed line with a shaded region above it.

Solve the inequality 3x + 5 < 2x - 1.

• x < -6

• x = -6

• x > -6

• x < -5

Interpret the solution set of the inequality 4 - 2x ≥ 10.

• x > -3

• x = -3

• x < -3

• x ≤ -3

Write an inequality for the following word problem: A company requires at least $5000 in monthly revenue to cover expenses.

• x > 5000

• x < 5000

• x = 5000

• x >= 5000

Identify the feasible region for the system of inequalities: x + y ≤ 5 and x ≥ 0, y ≥ 0.

• Rectangle in the fourth quadrant bounded by x = 0, y = 0, x = 5, and y = 5

• Circle centered at (0,0) with radius 5

• Square in the second quadrant bounded by x = 0, y = 0, x = 5, and y = 5

• Triangle in the first quadrant bounded by x = 0, y = 0, and x + y = 5

Apply the inequality concept to determine the possible range of values for the number of tickets that can be sold for a concert.

• [1, 2)

• [0, 1)

• [0, +∞)

• (-∞, 0)

Graph the inequality 2y + x < 6 on a coordinate plane.

• The graph of the inequality 2y + x < 6 is a dashed line with a slope of 2 passing through (0,3), shading the area below the line.

• The graph of the inequality 2y + x < 6 is a dashed line with a slope of -0.5 passing through (0,3), shading the area below the line.

• The graph of the inequality 2y + x < 6 is a solid line with a slope of 0.5 passing through (0,3), shading the area above the line.

• The graph of the inequality 2y + x < 6 is a solid line with a slope of -2 passing through (0,3), shading the area below the line.

Solve the inequality 4x - 3 > 5x + 2.

• x < 0

• x > -5

• x = -5

• x < -5

Interpret the solution set of the inequality 2x + 3 ≤ 7.

• x = 2

• x ≤ 2

• x < 1

• x > 2

Write an inequality for the following word problem: A student must score at least 70% on the final exam to pass the course.

• x = 70

• x <= 70

• x > 70

• x >= 70