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Worksheet: Solving Nonlinear Polynomial Inequalities with Unusual Solution Sets

Q1:

Find all solutions to the inequality π‘₯ + 1 2 1 ≀ 0 2 . Write your answer as an interval.

  • A ( βˆ’ 1 1 , 1 1 )
  • B ℝ βˆ’ [ βˆ’ 1 1 , 1 1 ]
  • C ℝ βˆ’ ( βˆ’ 1 1 , 1 1 )
  • D βˆ…
  • E [ βˆ’ 1 1 , 1 1 ]

Q2:

Find all solutions to the inequality π‘₯ + 3 6 > 0 2 . Write your answer as an interval.

  • A ( βˆ’ 6 , 6 )
  • B ℝ βˆ’ [ βˆ’ 6 , 6 ]
  • C ℝ βˆ’ ( βˆ’ 6 , 6 )
  • D ℝ
  • E [ βˆ’ 6 , 6 ]

Q3:

Find all solutions to the inequality π‘₯ + 8 1 > 0 2 . Write your answer as an interval.

  • A ( βˆ’ 9 , 9 )
  • B ℝ βˆ’ [ βˆ’ 9 , 9 ]
  • C ℝ βˆ’ ( βˆ’ 9 , 9 )
  • D ℝ
  • E [ βˆ’ 9 , 9 ]

Q4:

Find all solutions to the inequality π‘₯ + 1 6 9 > 0 2 . Write your answer as an interval.

  • A ( βˆ’ 1 3 , 1 3 )
  • B ℝ βˆ’ [ βˆ’ 1 3 , 1 3 ]
  • C ℝ βˆ’ ( βˆ’ 1 3 , 1 3 )
  • D ℝ
  • E [ βˆ’ 1 3 , 1 3 ]

Q5:

Find all solutions to the inequality π‘₯ + 1 > 0 2 . Write your answer as an interval.

  • A ( βˆ’ 1 , 1 )
  • B ℝ βˆ’ [ βˆ’ 1 , 1 ]
  • C ℝ βˆ’ ( βˆ’ 1 , 1 )
  • D ℝ
  • E [ βˆ’ 1 , 1 ]

Q6:

Find all solutions to the inequality π‘₯ + 1 0 0 ≀ 0 2 . Write your answer as an interval.

  • A ( βˆ’ 1 0 , 1 0 )
  • B ℝ βˆ’ [ βˆ’ 1 0 , 1 0 ]
  • C ℝ βˆ’ ( βˆ’ 1 0 , 1 0 )
  • D βˆ…
  • E [ βˆ’ 1 0 , 1 0 ]

Q7:

Find all solutions to the inequality π‘₯ + 2 5 6 ≀ 0 2 . Write your answer as an interval.

  • A ( βˆ’ 1 6 , 1 6 )
  • B ℝ βˆ’ [ βˆ’ 1 6 , 1 6 ]
  • C ℝ βˆ’ ( βˆ’ 1 6 , 1 6 )
  • D βˆ…
  • E [ βˆ’ 1 6 , 1 6 ]