Inequalities Is It A Solution

Solve the system of inequalities by graphing.

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CCSS.HSA.REI.D.12

When graphing an inequality, you use a dotted line when you use which symbol?

• <, >

• ≤, ≥ 

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CCSS.HSA.REI.D.12

Choose the correct inequality for this graph.

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CCSS.HSA.REI.D.12

• y < -3/4x - 2 
• y > -3/4x - 2 
• y ≤ -3/4x - 2 
• y ≥ -3/4x - 2 

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CCSS.HSA.REI.D.12

• y < 5x + 1 
• y > 5x + 1 
• y ≤ 5x + 1 
• y ≥ 5x + 1  

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CCSS.HSA.REI.D.12

What graph matches this inequality?

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CCSS.HSA.REI.D.12

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

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CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)

• (2, 1)

• (2, 2)

• (-1, 1)

Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?

• 2x + 3y > 100

  x + y ≤ 40

• 100x + 2y > 3

  x + y ≤ 40

• 100x + 40y > 100

  3x + 2y ≤ 40

• 3x + 2y > 100

  x + y ≤ 40

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