Worksheet: Radical Inequalities

In this worksheet, we will practice solving inequalities that include radical expressions where the variable is the radicand by raising each side to a power.

Q1:

Find algebraically the solution set of the inequality 𝑥 + 1 6 𝑥 + 6 4 < 1 9 .

  • A ( , 1 1 )
  • B ( 1 1 , 2 7 )
  • C ( 2 7 , 1 1 )
  • D [ 2 7 , 1 1 ]

Q2:

Find algebraically the solution set of the inequality 𝑥 + 8 𝑥 + 1 6 3 .

  • A [ 1 , )
  • B ( 1 , 7 )
  • C [ 7 , 1 ]
  • D ( 7 , 1 )

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