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Worksheet: Inequalities and Interval Notation

Q1:

Find all values of that satisfy . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q2:

Find the solution set of the inequality in .

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  • B
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  • D
  • E

Q3:

Find the solution set of the inequality in .

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  • E

Q4:

Find the solution set of the inequality in .

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  • E

Q5:

Find the solution set of the inequality in . Give your answer in interval notation.

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  • B
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  • D
  • E

Q6:

Find the solution set of the inequality in . Give your answer in interval notation.

  • A
  • B
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  • D
  • E

Q7:

Find the solution set of the inequality in . Give your answer in interval notation.

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  • E

Q8:

Find the solution set of the inequality in .

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  • E

Q9:

Find the solution set of the inequality in . Give your answer in interval notation.

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  • B
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  • D
  • E

Q10:

Find the solution set of the inequality in .

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  • E

Q11:

Find the solution set of the inequality 1 β‰₯ 3 π‘₯ + 4 > βˆ’ 4 in ℝ . Give your answer in interval notation.

  • A  βˆ’ 8 3 , βˆ’ 1 
  • B ο€Ό βˆ’ 8 3 , βˆ’ 1 
  • C  βˆ’ 8 3 , βˆ’ 1 
  • D ο€Ό βˆ’ 8 3 , βˆ’ 1 
  • E ο€Ό 0 , 5 3 

Q12:

Find the solution set of the inequality in . Give your answer in interval notation.

  • A
  • B
  • C
  • D
  • E

Q13:

Find the solution set of the inequality in . Give your answer in interval notation.

  • A
  • B
  • C
  • D
  • E

Q14:

Find the solution set of the inequality in . Give your answer in interval notation.

  • A
  • B
  • C
  • D

Q15:

Find the solution set of π‘₯ + 1 β‰₯ | βˆ’ 5 | given that π‘₯ ∈ β„• .

  • A { 1 , 2 , 3 , 4 }
  • B { βˆ’ 1 , 0 , 1 , 2 , 3 }
  • C { 5 , 6 , 7 , … }
  • D { 4 , 5 , 6 , … }

Q16:

Find the solution set of the inequality 5 π‘₯ βˆ’ 1 1 0 < βˆ’ 2 π‘₯ + 5 < π‘₯ + 3 2 in ℝ . Give your answer in interval notation.

  • A  7 5 , 5 1 2 5 
  • B  7 5 , 5 1 2 5 
  • C ο€Ό 7 5 , 5 1 2 5 
  • D ο€Ό 7 5 , 5 1 2 5 
  • E  7 5 , 5 1 2 5 

Q17:

If , then what interval does lie in?

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Q18:

Find the solution set of the inequality in . Give your answer in interval notation.

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  • D

Q19:

Find the solution set of the inequality in . Give your answer in interval notation.

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  • D

Q20:

Find the solution set of the inequality in . Give your answer in interval notation.

  • A
  • B
  • C
  • D