Systems of Inequalities

Which are solutions to the inequality: 4x + 7 < 19

• x = -3

• x = 3

• x = 4

• x = 5

Solve the inequality: 2x + 5 > 11

• x > 3

• x < 3

• x > 5

• x = 3

Which inequality is shown in the graph?

• y < 3x - 2

• y > 3x - 2

• y ≤ 3x - 2

• y ≥ 3x - 2

Solve the inequality: -3x + 3 ≤ 15

• x ≤ 4

• x ≥ 4

• x ≤ -4

• x ≥ -4

Which inequality is shown in the graph?

• x - 2y > 4

• x - 2y ≥ 4

• x - 2y < 4

• x - 2y ≤ 4

Which system of inequalities does the graph represent?

• y > x + 2

  y > -x - 1

• y > x + 2

  y < -x - 1

• y < x + 2

  y > -x - 1

• y < x + 2

  y < -x - 1

Consider the production constraints for x number of toy cars and y number of toy trucks.
The company has no more than 360 wheels in stock. Each toy car needs 4 wheels, and each toy truck needs 6 wheels.

This constraint is represented by the inequality 4x + 6y ≤ 360.

What is the maximum number of toy trucks the company can produce if no toy cars are produced?

• • 50

• • 60

• • 90

• • 100

Consider the production constraints for x number of toy cars and y number of toy trucks.
The company has no more than 360 wheels in stock. Each toy car needs 4 wheels, and each toy truck needs 6 wheels.

This constraint is represented by the inequality 4x + 6y ≤ 360.

What is the maximum number of toy cars the company can produce if no toy trucks are produced?

• • 50

• • 60

• • 90

• • 100

Consider the production constraints for x number of toy cars and y number of toy trucks shown in the graph.
Which represents a possible solution for the companies production of toy cars and trucks?

• • (70, 10)
    70 toy cars and 10 toy trucks

• • (60, 20)
    60 toy cars and 20 toy trucks

• • (20, 40)
    20 toy cars and 40 toy trucks

• • (10, 70)
    10 toy cars and 70 toy trucks

Consider the production constraints for x number of toy cars and y number of toy trucks .
The company has no more than 100 seats in stock. Each toy car needs 2 seats, and each toy truck needs 1 seat.
Which represents the inequality for the company's production of toy cars and trucks?

• 2x + y < 100

• 2x + y ≤ 100

• 2x + y > 100

• 2x + y ≥ 100