Inequalities and Systems of Inequalities

How can I tell if an inequality will have a solid line?

• It has an equal sign.

• The symbol is greater than.

• The symbol has "or equal to."

• You just guess.

Tags

CCSS.HSA.REI.D.12

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Gabriela is the manager of a print shop. She needs to schedule employees to work no more than 300 person-hours per week. She has one 20 hour a week part-time employee. Each full-time employee works 40 hours per week. Which inequality will determine f, the number of full-time employees Gabriela can schedule to remain under the 300 person-hour per week limit?

Tags

CCSS.7.EE.B.4B

Which inequality describes the graph?

Tags

CCSS.HSA.REI.D.12

Which inequality describes the graph?

Tags

CCSS.HSA.REI.D.12

Which inequality describes the graph?

Tags

CCSS.HSA.REI.D.12

Which system of inequalities describes the graph?

Tags

CCSS.HSA.REI.D.12

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x

• 30x + 20 < 15x + 30

• 30 + 20x > 15 + 30x

• 30x + 20 > 15x + 30

Tags

CCSS.7.EE.B.4B

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. Which systems of inequalities represents this situation?

• 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

You can work at most 20 hours next week. You need to earn at least $92 to cover you weekly expenses. Your math tutoring job pays $7.50 per hour and your job as a pet sitter pays $6 per hour. You can work at most 7 hours tutoring. Which system of linear inequalities to models the situation?

• s + t < 20

  
  

  6s + 7.50t ≥ 92

  
  

  t >7

• s + t ≤ 20

  
  

  6s + 7.50t ≥ 92

  
  

  t ≤ 7