Solutions of Inequalities and System of Inequalities

Which ordered pair(s) is a solution to the given system?

• (5,0)

• (1,-3)

• (3,3)

• (2,1)

Solve the system of inequalities by graphing.

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Is (0,0) a solution to the system?

• Solution

• Not a solution

Which ordered pair(s) is a solution to the given system?

• (5, -5)

• (0,0)

• (-5, -2)

• (3,-3)

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

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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

Is (3,-4) a solution to this system?

• yes

• no

Which system of inequality is shown?

• y > -1/5x - 1/2  
   y ≥ -2x - 4

• y > -1/5x - 1/2  
   y ≤ -2x - 4

• y ≥ -1/5x - 1/2
   y ≤ -2x - 4

• y < -1/5x - 1/2  
  y ≥ -2x - 4