Systems of Inequalities

Graph and identify a possible solution.
y≥2x+3
y≥1/3x-2

• (3,3)
• (-1,-1)
• (-3,3)
• (-4,-4)

Graph and identify a possible solution
y>-3x+2
y≤2x-3

• (2,3)
• (1,4)
• (-2,-3)
• (4,2)

Graph and identify a possible solution
y≥7/3x+5

• (-3,-1)
• (2,3)
• (-1,2)
• (5,-6)

Write the inequality

• y>-5x-3
• y≥-5x-3
• y<-5x-3
• y≤-5x-3

Tags

CCSS.HSA.REI.D.12

Write the inequalities

• x≤-2
  y≤x-3
• y≤-2
  y≤x-3
• x≥-2
  y≤x-3
• y≥-2
  y≤x-3

Tags

CCSS.HSA.REI.D.12

Write the inequalities

• y≥-2x+3
  y≤x-3
• y>2x+3
  y≥x-3
• y>-2x+3
  y≥x-3
• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Write the system of inequalities
Eiko 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. Eiko 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

Tags

CCSS.HSA.REI.D.12

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3