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Worksheet: Radical Inequalities

Q1:

Find algebraically the solution set of the inequality √ π‘₯ + 1 6 π‘₯ + 6 4 < 1 9 2 .

  • A ] βˆ’ 1 1 , 2 7 [
  • B ℝ βˆ’ [ βˆ’ 2 7 , 1 1 ]
  • C ] βˆ’ ∞ , 1 1 [
  • D ] βˆ’ 2 7 , 1 1 [

Q2:

Find algebraically the solution set of the inequality √ π‘₯ + 8 π‘₯ + 1 6 β‰₯ 3 2 .

  • A ℝ βˆ’ ] 1 , 7 [
  • B [ βˆ’ 7 , βˆ’ 1 ]
  • C [ βˆ’ 1 , ∞ [
  • D ℝ βˆ’ ] βˆ’ 7 , βˆ’ 1 [