Review of Solving Linear Inequalities

Which of the following symbols means "greater than or equal to"?

• ≥

• ≤

• >

• <

Belton is hosting a festival where vendors can pay to have a small booth or a large booth. The fee for a small booth is $85, and the fee for a large booth is $200. The city hopes to receive at least $3,700 in fees. Which inequality models this situation? Let x equal the number of small booths and y the number of large.

• 3700 - 200y = 85x

• 200y - 85x > 3700

• 85x + 200y ≥ 3700

• 85x + 200y ≤  3700

Select the correct graph for the inequality.

• A

• B

• C

• D

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Tell if the given point is a solution to the system on inequalities

Which point is in the overlap of the shaded regions?

• (8,-5)

• (20,5)

• (9,10)

• (-7,1)

Tell if the given point is a solution to the system on inequalities

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 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

What inequality does the number line graph represent?

• x <= 4

• x>= -4

• x < -4

• x < 4