Worksheet: Quadratic Inequalities

In this worksheet, we will practice solving quadratic inequalities algebraically and graphically.

Q1:

Solve 𝑥 2 𝑥 < 0 graphically.

  • A [ 0 , 2 ]
  • B 𝑅 ( 0 , 2 )
  • C ( 0 , 2 )
  • D 𝑅 [ 0 , 2 ]
  • E { 0 , 2 }

Q2:

Solve 𝑥 𝑥 6 < 0 .

  • A ( 2 , 3 )
  • B 𝑅 ( 2 , 3 )
  • C { 2 , 3 }
  • D [ 2 , 3 ]
  • E 𝑅 [ 2 , 3 ]

Q3:

Solve 5 ( 𝑥 1 ) 𝑥 ( 7 𝑥 ) 𝑥 graphically.

  • A ( 2 . 5 , )
  • B ( , 2 . 5 ]
  • C [ 2 . 5 , )
  • D ( 0 , 2 . 5 )
  • E [ 2 . 5 , 0 )

Q4:

Solve 𝑥 𝑥 6 > 0 graphically.

  • A [ 2 , 3 ]
  • B 𝑅 [ 2 , 3 ]
  • C ( 2 , 3 )
  • D 𝑅 ( 2 , 3 )
  • E { 2 , 3 }

Q5:

Solve 𝑥 + 9 > 0 graphically.

  • A { 3 , 3 }
  • B [ 3 , 3 ]
  • C 𝑅 ( 3 , 3 )
  • D 𝑅 [ 3 , 3 ]
  • E ( 3 , 3 )

Q6:

Solve ( 2 3 𝑥 ) ( 𝑥 1 ) 4 ( 𝑥 2 ) graphically.

  • A , 4 5 4 + 5 ,
  • B , 4 5 4 + 5 ,
  • C 4 + 5 ,
  • D , 4 5
  • E , 4 5 4 + 5 ,

Q7:

Solve 2 𝑥 < 3 𝑥 + 5 graphically.

  • A 1 , 5 2
  • B 𝑅 1 , 5 2
  • C 𝑅 1 , 5 2
  • D 1 , 5 2
  • E 1 , 5 2

Q8:

Solve ( 2 𝑥 ) ( 𝑥 1 ) 2 ( 𝑥 1 ) graphically.

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

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