Inequality Systems

• (-2,-1)

• (0,3)

• (3,1)

• (-4,-1)

Match

• y ≤ -3/4 x + 3

• y ≥ -3/4 x + 3

• y < -3/4 x + 3

• y > -3/4 x + 3

Write the system of inequalities

Alex 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

Write the system of inequalities Brogan is drawing caricatures at a fair for 8 hours (480 minutes). She can complete a small drawing in 15 minutes and charges $10 for the drawing. She can complete a larger drawing in 45 minutes and charges $25 for the drawing. Brogan hopes to make at least $200 at the fair.

• 10x+15y≤480

  45x+25y≥250

• 10x+25y≤200

  15x+45y≤480

• 10x+25y>200

  15x+45y<480

• 10x+25y≥200

  15x+45y≤480

Which of the following equations match the given graph?

• y  < 2/5x + 1

• y ≥ -2/5x + 1

• y ≤  2/5x + 1

• y ≥ -2/5x - 1

Which point is not a solution?

• (1, 3)

• (-1, 2)

• (3, -2)

• (5, 0)

Dora 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 Dora 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

David needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Ace and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

• x + y ≥ 25

  x + y ≤ 8

• 100x + 25 y ≤ 100

  2x + 8y ≤ 14

• x + y ≥ 100

  8x + 25y ≤ 14

• 8x + 25y ≥ 100

  x + y ≤ 14

Claire likes her job as a baby-sitter, but it pays only $5 per hour. She has been offered a job as a tutor that pays $12 per hour. Because it's summer, her parents insist she works a minimum of 20 hours per week. How many hours can Claire tutor and baby-sit and still make at least $90 per week? How much does she make?

• b + t > 20

  5b + 12t > 90

• b + t > 20

  5b + 12t < 90

• 5b + 12t > 20

  b + t < 90

• 5b + 12t < 20

  b + t < 90

Are the points on the line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set