Solve Systems of Inequalities

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Match: the overlap is on the left!

• y ≤ 3x   and  y ≤ -2x + 4
• y > 3x   and  y > -2x + 4
• y < 3x   and  y > -2x + 4
• y > 3x   and  y < -2x + 4

Tags

CCSS.HSA.REI.D.12

Which system of inequality 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 + 4

Tags

CCSS.HSA.REI.D.12

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. Write a system of linear inequalities to model the situation.

• s + t < 20
  6s + 7.50t ≥ 92
  t >7
• s + t ≤ 20
  6s + 7.50t ≥ 92
  t ≤ 7

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2
• y < 2x - 4
  y < 2
• y > 2x - 4
  y <  2 
• y < 2x - 4
  y <   -2

Tags

CCSS.HSA.REI.D.12

Solve the system of inequalities by graphing.

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Tags

CCSS.HSA.REI.D.12

Write an inequality represented by the graph.

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

Tags

CCSS.HSA.REI.D.12

Which is the graph of the system of inequalities?

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Tags

CCSS.HSA.REI.D.12

Which graph shows the system of linear inequalities?

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Tags

CCSS.HSA.REI.D.12