Systems of Linear Inequalities

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

• b + t < 15
  3b + 6t > 66

• b + t > 15
  3b + 6t < 66

• 3b + 6t > 15
  b + t < 66

• 3b + 6t < 15
  b + t < 66

Write the inequality

• y>-5x-3

• y≥-5x-3

• y<-5x-3

• y≤-5x-3

Is (0,0) a solution to the system?

• Solution

• Not a solution

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Which ordered pair is in the solution set of the following system of inequalities?

• (-3, 2)

• (6, 4)

• (-1, -7)

• (5, -2)

Which ordered pair is in the solution set of the following system of inequalities?

• (0, 5)

• (2, 0)

• (-1, -3)

• (-6, 4)

Which ordered pair is in the solution set of the following system of inequalities?

• (3, -5)

• (6, 0)

• (-8, -1)

• (-2, 6)

Which ordered pair is in the solution set of the following system of inequalities?

• (-1, 4)

• (4, 5)

• (-3, -6)

• (7, -2)

Which point below is NOT a part of the solution set?

• (0, 0)

• (0, 1)

• (-100, -3)

• (5, 10)